LMFDB - Embedded newform 250.2.h.a.229.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [250,2,Mod(9,250)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(250, base_ring=CyclotomicField(50))

chi = DirichletCharacter(H, H._module([7]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("250.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 250 = 2 \cdot 5^{3} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	250.h (of order $50$, degree $20$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.99626005053$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{50})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{50}]$

Embedding invariants

Embedding label			229.6
Character	$\chi$	$=$	250.229
Dual form			250.2.h.a.119.6

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.248690 - 0.968583i) q^{2} +(2.88777 - 0.550872i) q^{3} +(-0.876307 + 0.481754i) q^{4} +(2.01540 - 0.968598i) q^{5} +(-1.25173 - 2.66005i) q^{6} +(-0.797878 + 1.09818i) q^{7} +(0.684547 + 0.728969i) q^{8} +(5.24645 - 2.07722i) q^{9} +O(q^{10})$	\(q+(-0.248690 - 0.968583i) q^{2} +(2.88777 - 0.550872i) q^{3} +(-0.876307 + 0.481754i) q^{4} +(2.01540 - 0.968598i) q^{5} +(-1.25173 - 2.66005i) q^{6} +(-0.797878 + 1.09818i) q^{7} +(0.684547 + 0.728969i) q^{8} +(5.24645 - 2.07722i) q^{9} +(-1.43938 - 1.71120i) q^{10} +(-5.82067 + 1.49449i) q^{11} +(-2.26519 + 1.87393i) q^{12} +(0.617181 + 1.55882i) q^{13} +(1.26211 + 0.499704i) q^{14} +(5.28643 - 3.90732i) q^{15} +(0.535827 - 0.844328i) q^{16} +(-1.13496 + 2.06449i) q^{17} +(-3.31670 - 4.56504i) q^{18} +(0.142441 - 0.746702i) q^{19} +(-1.29948 + 1.81971i) q^{20} +(-1.69913 + 3.61084i) q^{21} +(2.89509 + 5.26614i) q^{22} +(-7.59041 - 0.477548i) q^{23} +(2.37839 + 1.72800i) q^{24} +(3.12363 - 3.90422i) q^{25} +(1.35636 - 0.985453i) q^{26} +(6.55970 - 4.16291i) q^{27} +(0.170131 - 1.34673i) q^{28} +(3.73346 + 0.471646i) q^{29} +(-5.09925 - 4.14864i) q^{30} +(-1.31821 - 0.724690i) q^{31} +(-0.951057 - 0.309017i) q^{32} +(-15.9855 + 7.52221i) q^{33} +(2.28189 + 0.585889i) q^{34} +(-0.544339 + 2.98610i) q^{35} +(-3.59679 + 4.34778i) q^{36} +(-5.99654 - 3.80552i) q^{37} +(-0.758666 + 0.0477312i) q^{38} +(2.64099 + 4.16153i) q^{39} +(2.08571 + 0.806109i) q^{40} +(-0.446808 - 7.10181i) q^{41} +(3.91995 + 0.747771i) q^{42} +(11.3101 - 3.67488i) q^{43} +(4.38072 - 4.11377i) q^{44} +(8.56168 - 9.26811i) q^{45} +(1.42511 + 7.47071i) q^{46} +(1.23911 - 1.31952i) q^{47} +(1.08223 - 2.73340i) q^{48} +(1.59372 + 4.90496i) q^{49} +(-4.55837 - 2.05456i) q^{50} +(-2.14025 + 6.58701i) q^{51} +(-1.29181 - 1.06868i) q^{52} +(-2.74250 - 1.29052i) q^{53} +(-5.66346 - 5.31834i) q^{54} +(-10.2834 + 8.64989i) q^{55} +(-1.34673 + 0.170131i) q^{56} -2.23477i q^{57} +(-0.471646 - 3.73346i) q^{58} +(2.82232 + 3.41160i) q^{59} +(-2.75017 + 5.97077i) q^{60} +(-0.860687 + 13.6802i) q^{61} +(-0.374098 + 1.45702i) q^{62} +(-1.90486 + 7.41894i) q^{63} +(-0.0627905 + 0.998027i) q^{64} +(2.75373 + 2.54384i) q^{65} +(11.2613 + 13.6126i) q^{66} +(0.0237792 + 0.188232i) q^{67} -2.35590i q^{68} +(-22.1825 + 2.80230i) q^{69} +(3.02766 - 0.215375i) q^{70} +(0.464799 + 0.436475i) q^{71} +(5.10567 + 2.40255i) q^{72} +(9.25235 + 7.65421i) q^{73} +(-2.19468 + 6.75455i) q^{74} +(6.86963 - 12.9952i) q^{75} +(0.234904 + 0.722961i) q^{76} +(3.00296 - 7.58460i) q^{77} +(3.37400 - 3.59295i) q^{78} +(2.59817 + 13.6201i) q^{79} +(0.262088 - 2.22066i) q^{80} +(4.30964 - 4.04702i) q^{81} +(-6.76758 + 2.19892i) q^{82} +(-6.68913 - 1.27602i) q^{83} +(-0.250574 - 3.98276i) q^{84} +(-0.287737 + 5.26009i) q^{85} +(-6.37214 - 10.0409i) q^{86} +(11.0412 - 0.694654i) q^{87} +(-5.07396 - 3.22004i) q^{88} +(9.38670 - 11.3466i) q^{89} +(-11.1061 - 5.98781i) q^{90} +(-2.20431 - 0.565970i) q^{91} +(6.88159 - 3.23823i) q^{92} +(-4.20589 - 1.36658i) q^{93} +(-1.58622 - 0.872033i) q^{94} +(-0.436179 - 1.64287i) q^{95} +(-2.91667 - 0.368461i) q^{96} +(1.37671 - 10.8978i) q^{97} +(4.35452 - 2.76346i) q^{98} +(-27.4335 + 19.9316i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 10 q^{5}+O(q^{10}) $ 240 * q + 10 * q^5	$ 240 q + 10 q^{5} + 10 q^{11} - 40 q^{12} + 20 q^{15} - 10 q^{17} - 20 q^{19} - 20 q^{22} - 60 q^{23} - 10 q^{24} - 110 q^{25} + 30 q^{26} - 10 q^{28} - 20 q^{29} - 20 q^{30} + 10 q^{31} + 30 q^{33} - 10 q^{35} + 10 q^{37} - 20 q^{39} + 30 q^{41} + 10 q^{42} - 160 q^{45} + 20 q^{46} - 220 q^{47} + 10 q^{48} + 40 q^{49} + 20 q^{51} + 10 q^{55} - 30 q^{59} - 50 q^{60} + 40 q^{61} - 20 q^{63} - 50 q^{65} - 10 q^{67} - 20 q^{69} - 50 q^{71} - 50 q^{74} - 10 q^{75} + 10 q^{76} - 40 q^{77} - 170 q^{78} - 40 q^{79} + 50 q^{81} - 200 q^{82} - 50 q^{83} - 30 q^{84} + 20 q^{85} - 20 q^{87} + 10 q^{88} - 40 q^{89} + 30 q^{90} - 240 q^{91} + 10 q^{92} - 100 q^{93} - 100 q^{95} + 20 q^{97} + 40 q^{98} - 30 q^{99}+O(q^{100}) $ 240 * q + 10 * q^5 + 10 * q^11 - 40 * q^12 + 20 * q^15 - 10 * q^17 - 20 * q^19 - 20 * q^22 - 60 * q^23 - 10 * q^24 - 110 * q^25 + 30 * q^26 - 10 * q^28 - 20 * q^29 - 20 * q^30 + 10 * q^31 + 30 * q^33 - 10 * q^35 + 10 * q^37 - 20 * q^39 + 30 * q^41 + 10 * q^42 - 160 * q^45 + 20 * q^46 - 220 * q^47 + 10 * q^48 + 40 * q^49 + 20 * q^51 + 10 * q^55 - 30 * q^59 - 50 * q^60 + 40 * q^61 - 20 * q^63 - 50 * q^65 - 10 * q^67 - 20 * q^69 - 50 * q^71 - 50 * q^74 - 10 * q^75 + 10 * q^76 - 40 * q^77 - 170 * q^78 - 40 * q^79 + 50 * q^81 - 200 * q^82 - 50 * q^83 - 30 * q^84 + 20 * q^85 - 20 * q^87 + 10 * q^88 - 40 * q^89 + 30 * q^90 - 240 * q^91 + 10 * q^92 - 100 * q^93 - 100 * q^95 + 20 * q^97 + 40 * q^98 - 30 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/250\mathbb{Z}\right)^\times$.

$n$	$127$
$\chi(n)$	$e\left(\frac{21}{50}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.248690	−	0.968583i	−0.175850	−	0.684892i
$2$	−0.248690	−	0.968583i	−0.175850	−	0.684892i
$3$	2.88777	−	0.550872i	1.66726	−	0.318046i	0.734516	−	0.678592i	$-0.237409\pi$
$3$	2.88777	−	0.550872i	1.66726	−	0.318046i	0.932742	+	0.360545i	$0.117409\pi$
$4$	−0.876307	+	0.481754i	−0.438153	+	0.240877i
$5$	2.01540	−	0.968598i	0.901312	−	0.433170i
$5$	2.01540	−	0.968598i	0.901312	−	0.433170i
$6$	−1.25173	−	2.66005i	−0.511015	−	1.08596i
$7$	−0.797878	+	1.09818i	−0.301570	+	0.415075i	−0.932729	−	0.360578i	$-0.882579\pi$
$7$	−0.797878	+	1.09818i	−0.301570	+	0.415075i	0.631159	+	0.775653i	$0.282579\pi$
$8$	0.684547	+	0.728969i	0.242024	+	0.257729i
$9$	5.24645	−	2.07722i	1.74882	−	0.692406i
$10$	−1.43938	−	1.71120i	−0.455171	−	0.541128i
$11$	−5.82067	+	1.49449i	−1.75500	+	0.450607i	−0.982785	−	0.184755i	$-0.940851\pi$
$11$	−5.82067	+	1.49449i	−1.75500	+	0.450607i	−0.772214	+	0.635362i	$0.780851\pi$
$12$	−2.26519	+	1.87393i	−0.653904	+	0.540957i
$13$	0.617181	+	1.55882i	0.171175	+	0.432339i	0.989886	−	0.141867i	$-0.0453107\pi$
$13$	0.617181	+	1.55882i	0.171175	+	0.432339i	−0.818711	+	0.574206i	$0.805311\pi$
$14$	1.26211	+	0.499704i	0.337312	+	0.133551i
$15$	5.28643	−	3.90732i	1.36495	−	1.00887i
$16$	0.535827	−	0.844328i	0.133957	−	0.211082i
$17$	−1.13496	+	2.06449i	−0.275269	+	0.500713i	−0.977417	−	0.211318i	$-0.932224\pi$
$17$	−1.13496	+	2.06449i	−0.275269	+	0.500713i	0.702148	+	0.712031i	$0.252224\pi$
$18$	−3.31670	−	4.56504i	−0.781753	−	1.07599i
$19$	0.142441	−	0.746702i	0.0326782	−	0.171305i	−0.962207	−	0.272320i	$-0.912209\pi$
$19$	0.142441	−	0.746702i	0.0326782	−	0.171305i	0.994885	+	0.101015i	$0.0322090\pi$
$20$	−1.29948	+	1.81971i	−0.290572	+	0.406900i
$21$	−1.69913	+	3.61084i	−0.370781	+	0.787950i
$22$	2.89509	+	5.26614i	0.617234	+	1.12274i
$23$	−7.59041	−	0.477548i	−1.58271	−	0.0995757i	−0.753095	−	0.657911i	$-0.771440\pi$
$23$	−7.59041	−	0.477548i	−1.58271	−	0.0995757i	−0.829615	+	0.558336i	$0.811440\pi$
$24$	2.37839	+	1.72800i	0.485486	+	0.352726i
$25$	3.12363	−	3.90422i	0.624727	−	0.780843i
$26$	1.35636	−	0.985453i	0.266004	−	0.193263i
$27$	6.55970	−	4.16291i	1.26241	−	0.801153i
$28$	0.170131	−	1.34673i	0.0321518	−	0.254508i
$29$	3.73346	+	0.471646i	0.693286	+	0.0875824i	0.464077	−	0.885795i	$-0.346386\pi$
$29$	3.73346	+	0.471646i	0.693286	+	0.0875824i	0.229209	+	0.973377i	$0.426386\pi$
$30$	−5.09925	−	4.14864i	−0.930991	−	0.757434i
$31$	−1.31821	−	0.724690i	−0.236757	−	0.130158i	0.358959	−	0.933353i	$-0.383132\pi$
$31$	−1.31821	−	0.724690i	−0.236757	−	0.130158i	−0.595716	+	0.803195i	$0.703132\pi$
$32$	−0.951057	−	0.309017i	−0.168125	−	0.0546270i
$33$	−15.9855	+	7.52221i	−2.78272	+	1.30945i
$34$	2.28189	+	0.585889i	0.391340	+	0.100479i
$35$	−0.544339	+	2.98610i	−0.0920101	+	0.504743i
$36$	−3.59679	+	4.34778i	−0.599465	+	0.724629i
$37$	−5.99654	−	3.80552i	−0.985826	−	0.625624i	−0.0578737	−	0.998324i	$-0.518432\pi$
$37$	−5.99654	−	3.80552i	−0.985826	−	0.625624i	−0.927952	+	0.372700i	$0.878432\pi$
$38$	−0.758666	+	0.0477312i	−0.123072	+	0.00774303i
$39$	2.64099	+	4.16153i	0.422897	+	0.666379i
$40$	2.08571	+	0.806109i	0.329780	+	0.127457i
$41$	−0.446808	−	7.10181i	−0.0697797	−	1.10912i	−0.864662	−	0.502353i	$-0.832468\pi$
$41$	−0.446808	−	7.10181i	−0.0697797	−	1.10912i	0.794883	−	0.606763i	$-0.207532\pi$
$42$	3.91995	+	0.747771i	0.604862	+	0.115384i
$43$	11.3101	−	3.67488i	1.72478	−	0.560414i	0.732097	−	0.681200i	$-0.238542\pi$
$43$	11.3101	−	3.67488i	1.72478	−	0.560414i	0.992679	+	0.120786i	$0.0385416\pi$
$44$	4.38072	−	4.11377i	0.660418	−	0.620174i
$45$	8.56168	−	9.26811i	1.27630	−	1.38161i
$46$	1.42511	+	7.47071i	0.210122	+	1.10150i
$47$	1.23911	−	1.31952i	0.180743	−	0.192472i	−0.632217	−	0.774792i	$-0.717855\pi$
$47$	1.23911	−	1.31952i	0.180743	−	0.192472i	0.812960	+	0.582320i	$0.197855\pi$
$48$	1.08223	−	2.73340i	0.156206	−	0.394532i
$49$	1.59372	+	4.90496i	0.227674	+	0.700709i
$50$	−4.55837	−	2.05456i	−0.644652	−	0.290559i
$51$	−2.14025	+	6.58701i	−0.299695	+	0.922365i
$52$	−1.29181	−	1.06868i	−0.179141	−	0.148199i
$53$	−2.74250	−	1.29052i	−0.376712	−	0.177267i	0.228096	−	0.973639i	$-0.426750\pi$
$53$	−2.74250	−	1.29052i	−0.376712	−	0.177267i	−0.604808	+	0.796372i	$0.706750\pi$
$54$	−5.66346	−	5.31834i	−0.770699	−	0.723734i
$55$	−10.2834	+	8.64989i	−1.38661	+	1.16635i
$56$	−1.34673	+	0.170131i	−0.179964	+	0.0227347i
$57$		−	2.23477i		−	0.296003i
$58$	−0.471646	−	3.73346i	−0.0619301	−	0.490227i
$59$	2.82232	+	3.41160i	0.367435	+	0.444153i	0.921534	−	0.388298i	$-0.126937\pi$
$59$	2.82232	+	3.41160i	0.367435	+	0.444153i	−0.554099	+	0.832451i	$0.686937\pi$
$60$	−2.75017	+	5.97077i	−0.355045	+	0.770823i
$61$	−0.860687	+	13.6802i	−0.110200	+	1.75157i	0.423497	+	0.905898i	$0.360802\pi$
$61$	−0.860687	+	13.6802i	−0.110200	+	1.75157i	−0.533697	+	0.845676i	$0.679198\pi$
$62$	−0.374098	+	1.45702i	−0.0475105	+	0.185041i
$63$	−1.90486	+	7.41894i	−0.239990	+	0.934698i
$64$	−0.0627905	+	0.998027i	−0.00784881	+	0.124753i
$65$	2.75373	+	2.54384i	0.341559	+	0.315524i
$66$	11.2613	+	13.6126i	1.38617	+	1.67560i
$67$	0.0237792	+	0.188232i	0.00290510	+	0.0229962i	0.993501	−	0.113827i	$-0.0363109\pi$
$67$	0.0237792	+	0.188232i	0.00290510	+	0.0229962i	−0.990596	+	0.136823i	$0.956311\pi$
$68$		−	2.35590i		−	0.285695i
$69$	−22.1825	+	2.80230i	−2.67046	+	0.337357i
$70$	3.02766	−	0.215375i	0.361874	−	0.0257422i
$71$	0.464799	+	0.436475i	0.0551615	+	0.0518001i	0.711638	−	0.702547i	$-0.247954\pi$
$71$	0.464799	+	0.436475i	0.0551615	+	0.0518001i	−0.656476	+	0.754347i	$0.727954\pi$
$72$	5.10567	+	2.40255i	0.601709	+	0.283143i
$73$	9.25235	+	7.65421i	1.08291	+	0.895858i	0.994961	−	0.100268i	$-0.0319699\pi$
$73$	9.25235	+	7.65421i	1.08291	+	0.895858i	0.0879455	+	0.996125i	$0.471970\pi$
$74$	−2.19468	+	6.75455i	−0.255127	+	0.785200i
$75$	6.86963	−	12.9952i	0.793236	−	1.50056i
$76$	0.234904	+	0.722961i	0.0269454	+	0.0829293i
$77$	3.00296	−	7.58460i	0.342219	−	0.864345i
$78$	3.37400	−	3.59295i	0.382031	−	0.406821i
$79$	2.59817	+	13.6201i	0.292317	+	1.53238i	0.760847	+	0.648932i	$0.224784\pi$
$79$	2.59817	+	13.6201i	0.292317	+	1.53238i	−0.468530	+	0.883448i	$0.655216\pi$
$80$	0.262088	−	2.22066i	0.0293023	−	0.248277i
$81$	4.30964	−	4.04702i	0.478849	−	0.449669i
$82$	−6.76758	+	2.19892i	−0.747354	+	0.242830i
$83$	−6.68913	−	1.27602i	−0.734227	−	0.140061i	−0.193311	−	0.981138i	$-0.561923\pi$
$83$	−6.68913	−	1.27602i	−0.734227	−	0.140061i	−0.540917	+	0.841076i	$0.681923\pi$
$84$	−0.250574	−	3.98276i	−0.0273399	−	0.434555i
$85$	−0.287737	+	5.26009i	−0.0312095	+	0.570537i
$86$	−6.37214	−	10.0409i	−0.687125	−	1.08274i
$87$	11.0412	−	0.694654i	1.18374	−	0.0744747i
$88$	−5.07396	−	3.22004i	−0.540886	−	0.343257i
$89$	9.38670	−	11.3466i	0.994989	−	1.20273i	0.0157808	−	0.999875i	$-0.494977\pi$
$89$	9.38670	−	11.3466i	0.994989	−	1.20273i	0.979208	−	0.202859i	$-0.0650234\pi$
$90$	−11.1061	−	5.98781i	−1.17069	−	0.631171i
$91$	−2.20431	−	0.565970i	−0.231074	−	0.0593298i
$92$	6.88159	−	3.23823i	0.717455	−	0.337609i
$93$	−4.20589	−	1.36658i	−0.436131	−	0.141708i
$94$	−1.58622	−	0.872033i	−0.163606	−	0.0899434i
$95$	−0.436179	−	1.64287i	−0.0447510	−	0.168555i
$96$	−2.91667	−	0.368461i	−0.297681	−	0.0376058i
$97$	1.37671	−	10.8978i	0.139784	−	1.10650i	−0.753640	−	0.657288i	$-0.771704\pi$
$97$	1.37671	−	10.8978i	0.139784	−	1.10650i	0.893424	−	0.449215i	$-0.148296\pi$
$98$	4.35452	−	2.76346i	0.439873	−	0.279152i
$99$	−27.4335	+	19.9316i	−2.75717	+	2.00320i
$100$	−0.856391	+	4.92611i	−0.0856391	+	0.492611i
$101$	8.41401	+	6.11314i	0.837225	+	0.608280i	0.921594	−	0.388155i	$-0.126887\pi$
$101$	8.41401	+	6.11314i	0.837225	+	0.608280i	−0.0843688	+	0.996435i	$0.526887\pi$
$102$	6.91232	+	0.434886i	0.684422	+	0.0430602i
$103$	−9.12937	−	16.6063i	−0.899544	−	1.63626i	−0.763736	−	0.645529i	$-0.776637\pi$
$103$	−9.12937	−	16.6063i	−0.899544	−	1.63626i	−0.135808	−	0.990735i	$-0.543363\pi$
$104$	−0.713842	+	1.51699i	−0.0699979	+	0.148753i
$105$	0.0730306	+	8.92304i	0.00712706	+	0.870800i
$106$	−0.567947	+	2.97728i	−0.0551639	+	0.289179i
$107$	−5.47989	−	7.54242i	−0.529761	−	0.729154i	0.457333	−	0.889296i	$-0.348805\pi$
$107$	−5.47989	−	7.54242i	−0.529761	−	0.729154i	−0.987094	+	0.160142i	$0.948805\pi$
$108$	−3.74281	+	6.80814i	−0.360152	+	0.655114i
$109$	−0.0981344	+	0.154635i	−0.00939957	+	0.0148114i	−0.848995	−	0.528401i	$-0.822792\pi$
$109$	−0.0981344	+	0.154635i	−0.00939957	+	0.0148114i	0.839596	+	0.543212i	$0.182792\pi$
$110$	10.9355	+	7.80918i	1.04266	+	0.744576i
$111$	−19.4130	−	7.68616i	−1.84260	−	0.729538i
$112$	0.499704	+	1.26211i	0.0472176	+	0.119258i
$113$	5.30015	−	4.38467i	0.498596	−	0.412475i	−0.353840	−	0.935306i	$-0.615124\pi$
$113$	5.30015	−	4.38467i	0.498596	−	0.412475i	0.852436	+	0.522831i	$0.175124\pi$
$114$	−2.16456	+	0.555765i	−0.202730	+	0.0520522i
$115$	−15.7602	+	6.38961i	−1.46965	+	0.595835i
$116$	−3.49887	+	1.38530i	−0.324862	+	0.128622i
$117$	6.47601	+	6.89625i	0.598708	+	0.637559i
$118$	2.60254	−	3.58208i	0.239583	−	0.329758i
$119$	−1.36163	−	2.89361i	−0.124820	−	0.265257i
$120$	6.46712	+	1.17890i	0.590365	+	0.107618i
$121$	22.0073	−	12.0986i	2.00067	−	1.09988i
$122$	13.4645	−	2.56849i	1.21902	−	0.232540i
$123$	−5.20247	−	20.2623i	−0.469091	−	1.82699i
$124$	1.50428			0.135088
$125$	2.51374	−	10.8941i	0.224836	−	0.974397i
$126$	7.65958			0.682369
$127$	4.24611	+	16.5375i	0.376781	+	1.46747i	0.820679	+	0.571389i	$0.193595\pi$
$127$	4.24611	+	16.5375i	0.376781	+	1.46747i	−0.443898	+	0.896077i	$0.646405\pi$
$128$	0.982287	−	0.187381i	0.0868227	−	0.0165623i
$129$	30.6367	−	16.8426i	2.69741	−	1.48291i
$130$	1.77909	−	3.29985i	0.156037	−	0.289416i
$131$	−9.13726	−	19.4177i	−0.798326	−	1.69653i	−0.714059	−	0.700086i	$-0.753145\pi$
$131$	−9.13726	−	19.4177i	−0.798326	−	1.69653i	−0.0842668	−	0.996443i	$-0.526855\pi$
$132$	10.3844	−	14.2928i	0.903842	−	1.24403i
$133$	0.706366	+	0.752203i	0.0612497	+	0.0652243i
$134$	0.176405	−	0.0698436i	0.0152391	−	0.00603357i
$135$	9.18819	−	14.7436i	0.790794	−	1.26893i
$136$	−2.28189	+	0.585889i	−0.195670	+	0.0502395i
$137$	−4.10019	+	3.39197i	−0.350303	+	0.289796i	−0.795888	−	0.605444i	$-0.792996\pi$
$137$	−4.10019	+	3.39197i	−0.350303	+	0.289796i	0.445585	+	0.895240i	$0.352996\pi$
$138$	8.23081	+	20.7887i	0.700653	+	1.76965i
$139$	3.12445	+	1.23706i	0.265013	+	0.104926i	0.496873	−	0.867823i	$-0.334481\pi$
$139$	3.12445	+	1.23706i	0.265013	+	0.104926i	−0.231861	+	0.972749i	$0.574481\pi$
$140$	−0.961556	−	2.87898i	−0.0812663	−	0.243318i
$141$	2.85139	−	4.49308i	0.240131	−	0.378385i
$142$	0.307172	−	0.558743i	0.0257773	−	0.0468887i
$143$	−5.92205	−	8.15101i	−0.495227	−	0.681622i
$144$	1.05734	−	5.54275i	0.0881114	−	0.461896i
$145$	7.98123	−	2.66567i	0.662805	−	0.221372i
$146$	5.11277	−	10.8652i	0.423136	−	0.899210i
$147$	7.30431	+	13.2865i	0.602449	+	1.09585i
$148$	7.08813	+	0.445948i	0.582641	+	0.0366567i
$149$	−2.96541	−	2.15449i	−0.242936	−	0.176503i	0.459655	−	0.888098i	$-0.347973\pi$
$149$	−2.96541	−	2.15449i	−0.242936	−	0.176503i	−0.702590	+	0.711595i	$0.747973\pi$
$150$	−14.2954	−	3.42202i	−1.16721	−	0.279407i
$151$	−2.42920	+	1.76491i	−0.197685	+	0.143627i	−0.682224	−	0.731143i	$-0.738987\pi$
$151$	−2.42920	+	1.76491i	−0.197685	+	0.143627i	0.484539	+	0.874770i	$0.338987\pi$
$152$	0.641830	−	0.407318i	0.0520593	−	0.0330378i
$153$	−1.66614	+	13.1888i	−0.134699	+	1.06625i
$154$	−8.09312	−	1.02240i	−0.652162	−	0.0823872i
$155$	−3.35864	−	0.183724i	−0.269772	−	0.0147571i
$156$	−4.31915	−	2.37447i	−0.345809	−	0.190110i
$157$	−22.2319	−	7.22358i	−1.77430	−	0.576504i	−0.775784	−	0.630999i	$-0.782645\pi$
$157$	−22.2319	−	7.22358i	−1.77430	−	0.576504i	−0.998514	+	0.0544947i	$0.982645\pi$
$158$	12.5460	−	5.90372i	0.998110	−	0.469675i
$159$	−8.63064	−	2.21597i	−0.684454	−	0.175738i
$160$	−2.21607	+	0.298400i	−0.175196	+	0.0235906i
$161$	6.58066	−	7.95465i	0.518629	−	0.626914i
$162$	−4.99164	−	3.16779i	−0.392180	−	0.248885i
$163$	7.03952	−	0.442889i	0.551378	−	0.0346898i	0.215342	−	0.976539i	$-0.430913\pi$
$163$	7.03952	−	0.442889i	0.551378	−	0.0346898i	0.336036	+	0.941849i	$0.390913\pi$
$164$	3.81286	+	6.00811i	0.297735	+	0.469155i
$165$	−24.9311	+	30.6438i	−1.94089	+	2.38561i
$166$	0.427588	+	6.79631i	0.0331872	+	0.527496i
$167$	−14.3873	−	2.74453i	−1.11333	−	0.212378i	−0.402275	−	0.915519i	$-0.631780\pi$
$167$	−14.3873	−	2.74453i	−1.11333	−	0.212378i	−0.711050	+	0.703141i	$0.751780\pi$
$168$	−3.79532	+	1.23318i	−0.292816	+	0.0951416i
$169$	7.42758	−	6.97497i	0.571353	−	0.536536i
$170$	5.16639	−	1.02943i	0.396244	−	0.0789540i
$171$	−0.803752	−	4.21341i	−0.0614644	−	0.322208i
$172$	−8.14074	+	8.66901i	−0.620726	+	0.661006i
$173$	−4.06294	+	10.2618i	−0.308900	+	0.780191i	0.689535	+	0.724253i	$0.257815\pi$
$173$	−4.06294	+	10.2618i	−0.308900	+	0.780191i	−0.998434	+	0.0559387i	$0.982185\pi$
$174$	−3.41867	−	10.5216i	−0.259169	−	0.797639i
$175$	1.79527	+	6.54542i	0.135710	+	0.494787i
$176$	−1.85703	+	5.71535i	−0.139979	+	0.430811i
$177$	10.0296	+	8.29720i	0.753870	+	0.623655i
$178$	−13.3245	−	6.27003i	−0.998712	−	0.469958i
$179$	12.7089	+	11.9344i	0.949906	+	0.892021i	0.994260	−	0.106995i	$-0.0341229\pi$
$179$	12.7089	+	11.9344i	0.949906	+	0.892021i	−0.0443539	+	0.999016i	$0.514123\pi$
$180$	−3.03771	+	12.2463i	−0.226418	+	0.912788i
$181$	8.50491	−	1.07442i	0.632165	−	0.0798610i	0.197280	−	0.980347i	$-0.436789\pi$
$181$	8.50491	−	1.07442i	0.632165	−	0.0798610i	0.434885	+	0.900486i	$0.356789\pi$
$182$			2.27581i			0.168694i
$183$	5.05059	+	39.9795i	0.373350	+	2.95537i
$184$	−4.84788	−	5.86008i	−0.357390	−	0.432011i
$185$	−15.7714	−	1.86139i	−1.15954	−	0.136852i
$186$	−0.277681	+	4.41361i	−0.0203606	+	0.323622i
$187$	3.52088	−	13.7129i	0.257472	−	1.00279i
$188$	−0.450159	+	1.75325i	−0.0328312	+	0.127869i
$189$	−0.662193	+	10.5253i	−0.0481674	+	0.765600i
$190$	−1.48278	+	0.831040i	−0.107572	+	0.0602900i
$191$	9.73132	+	11.7631i	0.704133	+	0.851151i	0.994388	−	0.105799i	$-0.0337399\pi$
$191$	9.73132	+	11.7631i	0.704133	+	0.851151i	−0.290254	+	0.956950i	$0.593740\pi$
$192$	0.368461	+	2.91667i	0.0265913	+	0.210492i
$193$			0.262133i			0.0188688i	0.999955	+	0.00943439i	$0.00300310\pi$
$193$			0.262133i			0.0188688i	−0.999955	+	0.00943439i	$0.996997\pi$
$194$	−10.8978	+	1.37671i	−0.782416	+	0.0988421i
$195$	9.35349	+	5.82908i	0.669817	+	0.417429i
$196$	−3.75957	−	3.53047i	−0.268541	−	0.252176i
$197$	−12.2060	−	5.74368i	−0.869638	−	0.409221i	−0.0614256	−	0.998112i	$-0.519565\pi$
$197$	−12.2060	−	5.74368i	−0.869638	−	0.409221i	−0.808212	+	0.588891i	$0.799565\pi$
$198$	26.1278	+	21.6148i	1.85682	+	1.53610i
$199$	3.26125	−	10.0371i	0.231184	−	0.711512i	−0.766421	−	0.642339i	$-0.777964\pi$
$199$	3.26125	−	10.0371i	0.231184	−	0.711512i	0.997605	−	0.0691726i	$-0.0220359\pi$
$200$	4.98433	−	0.395589i	0.352445	−	0.0279723i
$201$	0.172361	+	0.530473i	0.0121574	+	0.0374166i
$202$	3.82860	−	9.66995i	0.269380	−	0.680375i
$203$	−3.49680	+	3.72371i	−0.245427	+	0.261354i
$204$	−1.29780	−	6.80331i	−0.0908642	−	0.476327i
$205$	−7.77930	−	13.8802i	−0.543330	−	0.969434i
$206$	−13.8142	+	12.9724i	−0.962479	+	0.903828i
$207$	−40.8147	+	13.2615i	−2.83682	+	0.921738i
$208$	1.64686	+	0.314155i	0.114189	+	0.0217827i
$209$	0.286840	+	4.55918i	0.0198411	+	0.315365i
$210$	8.62455	−	2.28981i	0.595150	−	0.158012i
$211$	−2.84603	−	4.48462i	−0.195929	−	0.308734i	0.732132	−	0.681162i	$-0.238525\pi$
$211$	−2.84603	−	4.48462i	−0.195929	−	0.308734i	−0.928061	+	0.372428i	$0.878525\pi$
$212$	3.02499	−	0.190316i	0.207757	−	0.0130710i
$213$	1.58268	+	1.00440i	0.108443	+	0.0688202i
$214$	−5.94267	+	7.18346i	−0.406233	+	0.491051i
$215$	19.2349	−	18.3613i	1.31181	−	1.25223i
$216$	7.52505	+	1.93211i	0.512015	+	0.131463i
$217$	1.84761	−	0.869420i	0.125424	−	0.0590201i
$218$	0.174182	+	0.0565952i	0.0117971	+	0.00383311i
$219$	30.9352	+	17.0068i	2.09041	+	1.14921i
$220$	4.84429	−	12.5340i	0.326602	−	0.845043i
$221$	−3.91865	−	0.495040i	−0.263597	−	0.0333000i
$222$	−2.61686	+	20.7146i	−0.175632	+	1.39027i
$223$	−0.740527	+	0.469953i	−0.0495894	+	0.0314704i	−0.560390	−	0.828229i	$-0.689349\pi$
$223$	−0.740527	+	0.469953i	−0.0495894	+	0.0314704i	0.510801	+	0.859699i	$0.329349\pi$
$224$	1.09818	−	0.797878i	0.0733756	−	0.0533105i
$225$	8.27809	−	26.9717i	0.551873	−	1.79812i
$226$	−5.56501	−	4.04321i	−0.370179	−	0.268951i
$227$	−16.5070	−	1.03853i	−1.09561	−	0.0689297i	−0.495317	−	0.868713i	$-0.664948\pi$
$227$	−16.5070	−	1.03853i	−1.09561	−	0.0689297i	−0.600289	+	0.799783i	$0.704948\pi$
$228$	1.07661	+	1.95835i	0.0713002	+	0.129695i
$229$	0.106186	−	0.225656i	0.00701696	−	0.0149118i	−0.901288	−	0.433221i	$-0.857377\pi$
$229$	0.106186	−	0.225656i	0.00701696	−	0.0149118i	0.908305	+	0.418309i	$0.137377\pi$
$230$	10.1083	+	13.6761i	0.666520	+	0.901773i
$231$	4.49371	−	23.5569i	0.295664	−	1.54993i
$232$	2.21191	+	3.04444i	0.145219	+	0.199877i
$233$	−0.781670	+	1.42185i	−0.0512089	+	0.0931487i	−0.900673	−	0.434498i	$-0.856926\pi$
$233$	−0.781670	+	1.42185i	−0.0512089	+	0.0931487i	0.849464	+	0.527647i	$0.176926\pi$
$234$	5.06908	−	7.98759i	0.331376	−	0.522165i
$235$	1.21922	−	3.85956i	0.0795330	−	0.251770i
$236$	−4.11677	−	1.62995i	−0.267979	−	0.106100i
$237$	15.0059	+	37.9005i	0.974735	+	2.46190i
$238$	−2.46408	+	2.03846i	−0.159723	+	0.132134i
$239$	0.729524	−	0.187310i	0.0471890	−	0.0121161i	−0.225022	−	0.974354i	$-0.572245\pi$
$239$	0.729524	−	0.187310i	0.0471890	−	0.0121161i	0.272211	+	0.962238i	$0.412245\pi$
$240$	−0.466447	−	6.55713i	−0.0301090	−	0.423261i
$241$	−9.79128	+	3.87664i	−0.630712	+	0.249716i	−0.661659	−	0.749805i	$-0.730147\pi$
$241$	−9.79128	+	3.87664i	−0.630712	+	0.249716i	0.0309477	+	0.999521i	$0.490147\pi$
$242$	−17.1915	−	18.3071i	−1.10511	−	1.17683i
$243$	−3.48388	+	4.79515i	−0.223491	+	0.307609i
$244$	−5.83627	−	12.4027i	−0.373629	−	0.794002i
$245$	7.96291	+	8.34176i	0.508732	+	0.532936i
$246$	−18.3319	+	10.0781i	−1.16880	+	0.642553i
$247$	1.25189	−	0.238810i	0.0796556	−	0.0151951i
$248$	−0.374098	−	1.45702i	−0.0237552	−	0.0925206i
$249$	−20.0196			−1.26869
$250$	−11.1770	+	0.274483i	−0.706894	+	0.0173598i
$251$	−0.465556			−0.0293856			−0.0146928	−	0.999892i	$-0.504677\pi$
$251$	−0.465556			−0.0293856			−0.0146928	+	0.999892i	$0.504677\pi$
$252$	−1.90486	−	7.41894i	−0.119995	−	0.467349i
$253$	44.8950	−	8.56418i	2.82253	−	0.538425i
$254$	14.9620	−	8.22542i	0.938799	−	0.516109i
$255$	2.06672	+	15.3485i	0.129423	+	0.961158i
$256$	−0.425779	−	0.904827i	−0.0266112	−	0.0565517i
$257$	−2.61429	+	3.59826i	−0.163075	+	0.224453i	−0.882733	−	0.469876i	$-0.844299\pi$
$257$	−2.61429	+	3.59826i	−0.163075	+	0.224453i	0.719658	+	0.694329i	$0.244299\pi$
$258$	−23.9325	−	25.4856i	−1.48997	−	1.58666i
$259$	8.96368	−	3.54897i	0.556976	−	0.220522i
$260$	−3.63862	−	0.902561i	−0.225658	−	0.0559745i
$261$	20.5671	−	5.28074i	1.27307	−	0.326870i
$262$	−16.5353	+	13.6792i	−1.02155	+	0.845102i
$263$	0.554352	+	1.40013i	0.0341828	+	0.0863359i	0.945865	−	0.324560i	$-0.105216\pi$
$263$	0.554352	+	1.40013i	0.0341828	+	0.0863359i	−0.911682	+	0.410896i	$0.865216\pi$
$264$	−16.4263	−	6.50363i	−1.01097	−	0.400271i
$265$	−6.77722	+	0.0554682i	−0.416322	+	0.00340738i
$266$	0.552905	−	0.871240i	0.0339008	−	0.0534191i
$267$	20.8562	−	37.9372i	1.27638	−	2.32172i
$268$	−0.111519	−	0.153493i	−0.00681213	−	0.00937610i
$269$	0.112915	−	0.591922i	0.00688456	−	0.0360901i	−0.978679	−	0.205395i	$-0.934152\pi$
$269$	0.112915	−	0.591922i	0.00688456	−	0.0360901i	0.985564	+	0.169305i	$0.0541522\pi$
$270$	−16.5654	−	5.23294i	−1.00814	−	0.318467i
$271$	−8.38435	+	17.8177i	−0.509313	+	1.08235i	0.470495	+	0.882403i	$0.344075\pi$
$271$	−8.38435	+	17.8177i	−0.509313	+	1.08235i	−0.979808	+	0.199942i	$0.935925\pi$
$272$	1.13496	+	2.06449i	0.0688173	+	0.125178i
$273$	−6.67732	−	0.420101i	−0.404130	−	0.0254257i
$274$	4.30508	+	3.12783i	0.260080	+	0.188959i
$275$	−12.3468	+	27.3934i	−0.744542	+	1.65189i
$276$	18.0886	−	13.1422i	1.08881	−	0.791065i
$277$	12.4081	−	7.87444i	0.745533	−	0.473129i	−0.108012	−	0.994150i	$-0.534448\pi$
$277$	12.4081	−	7.87444i	0.745533	−	0.473129i	0.853544	+	0.521020i	$0.174448\pi$
$278$	0.421174	−	3.33394i	0.0252603	−	0.199956i
$279$	−8.42124	−	1.06385i	−0.504167	−	0.0636910i
$280$	−2.54940	+	1.64732i	−0.152356	+	0.0984462i
$281$	3.63819	+	2.00011i	0.217036	+	0.119317i	0.586564	−	0.809903i	$-0.300480\pi$
$281$	3.63819	+	2.00011i	0.217036	+	0.119317i	−0.369527	+	0.929220i	$0.620480\pi$
$282$	−5.06103	−	1.64443i	−0.301380	−	0.0979243i
$283$	13.8773	−	6.53017i	0.824921	−	0.388178i	0.0334917	−	0.999439i	$-0.489337\pi$
$283$	13.8773	−	6.53017i	0.824921	−	0.388178i	0.791429	+	0.611261i	$0.209337\pi$
$284$	−0.617580	−	0.158568i	−0.0366466	−	0.00940926i
$285$	−2.16460	−	4.50395i	−0.128220	−	0.266791i
$286$	−6.42218	+	7.76308i	−0.379751	+	0.459040i
$287$	8.15560	+	5.17570i	0.481410	+	0.305512i
$288$	−5.63157	+	0.354308i	−0.331843	+	0.0208778i
$289$	6.13507	+	9.66733i	0.360887	+	0.568666i
$290$	−4.56678	−	7.06756i	−0.268170	−	0.415022i
$291$	−2.02766	−	32.2287i	−0.118864	−	1.88928i
$292$	−11.7953	−	2.25008i	−0.690270	−	0.131676i
$293$	9.74401	−	3.16602i	0.569251	−	0.184961i	−0.0102285	−	0.999948i	$-0.503256\pi$
$293$	9.74401	−	3.16602i	0.569251	−	0.184961i	0.579479	+	0.814987i	$0.303256\pi$
$294$	11.0526	−	10.3790i	0.644598	−	0.605318i
$295$	8.99257	+	4.14203i	0.523567	+	0.241158i
$296$	−1.33081	−	6.97635i	−0.0773518	−	0.405492i
$297$	−31.9604	+	34.0344i	−1.85453	+	1.97487i
$298$	−1.34934	+	3.40804i	−0.0781652	+	0.197423i
$299$	−3.94024	−	12.1268i	−0.227870	−	0.701312i
$300$	0.240596	+	14.6973i	0.0138908	+	0.848547i
$301$	−4.98839	+	15.3527i	−0.287526	+	0.884915i
$302$	2.31358	+	1.91396i	0.133132	+	0.110136i
$303$	27.6653	+	13.0183i	1.58933	+	0.747883i
$304$	−0.554137	−	0.520370i	−0.0317820	−	0.0298453i
$305$	11.5160	+	28.4047i	0.659405	+	1.62645i
$306$	13.1888	−	1.66614i	0.753955	−	0.0952466i
$307$			26.8705i			1.53358i	0.641899	+	0.766789i	$0.278147\pi$
$307$			26.8705i			1.53358i	−0.641899	+	0.766789i	$0.721853\pi$
$308$	1.02240	+	8.09312i	0.0582566	+	0.461148i
$309$	−35.5115	−	42.9260i	−2.02018	−	2.44198i
$310$	0.657307	+	3.29881i	0.0373326	+	0.187360i
$311$	−0.604516	+	9.60850i	−0.0342789	+	0.544848i	0.942987	+	0.332830i	$0.108004\pi$
$311$	−0.604516	+	9.60850i	−0.0342789	+	0.544848i	−0.977266	+	0.212018i	$0.931996\pi$
$312$	−1.22575	+	4.77396i	−0.0693942	+	0.270272i
$313$	−1.11369	+	4.33753i	−0.0629494	+	0.245172i	−0.992269	−	0.124104i	$-0.960394\pi$
$313$	−1.11369	+	4.33753i	−0.0629494	+	0.245172i	0.929320	+	0.369276i	$0.120394\pi$
$314$	−1.46779	+	23.3299i	−0.0828322	+	1.31658i
$315$	3.34693	+	16.7971i	0.188578	+	0.946411i
$316$	−8.83832	−	10.6837i	−0.497194	−	0.601005i
$317$	−2.20488	−	17.4534i	−0.123838	−	0.980282i	−0.924504	−	0.381171i	$-0.875521\pi$
$317$	−2.20488	−	17.4534i	−0.123838	−	0.980282i	0.800666	−	0.599111i	$-0.204479\pi$
$318$			8.91058i			0.499681i
$319$	−22.4361	+	2.83434i	−1.25618	+	0.158693i
$320$	0.840139	+	2.07224i	0.0469652	+	0.115842i
$321$	−19.9796	−	18.7621i	−1.11515	−	1.04720i
$322$	−9.34129	−	4.39568i	−0.520569	−	0.244961i
$323$	1.37989	+	1.14155i	0.0767794	+	0.0635174i
$324$	−1.82690	+	5.62261i	−0.101494	+	0.312367i
$325$	8.01382	+	2.45958i	0.444527	+	0.136433i
$326$	−2.17963	−	6.70822i	−0.120719	−	0.371534i
$327$	−0.198206	+	0.500611i	−0.0109608	+	0.0276838i
$328$	4.87114	−	5.18723i	0.268964	−	0.286417i
$329$	0.460418	+	2.41359i	0.0253837	+	0.133066i
$330$	35.8812	+	16.5271i	1.97519	+	0.909785i
$331$	9.86071	−	9.25982i	0.541993	−	0.508966i	−0.364490	−	0.931207i	$-0.618757\pi$
$331$	9.86071	−	9.25982i	0.541993	−	0.508966i	0.906483	+	0.422242i	$0.138757\pi$
$332$	6.47646	−	2.10433i	0.355442	−	0.115490i
$333$	−39.3655	−	7.50936i	−2.15721	−	0.411511i
$334$	0.919678	+	14.6179i	0.0503225	+	0.799854i
$335$	0.230246	+	0.356330i	0.0125797	+	0.0194684i
$336$	2.13829	+	3.36941i	0.116653	+	0.183816i
$337$	−21.8385	+	1.37396i	−1.18962	+	0.0748445i	−0.645230	−	0.763988i	$-0.723238\pi$
$337$	−21.8385	+	1.37396i	−1.18962	+	0.0748445i	−0.544389	+	0.838833i	$0.683238\pi$
$338$	−8.60300	−	5.45963i	−0.467941	−	0.296965i
$339$	12.8902	−	15.5816i	0.700102	−	0.846278i
$340$	−2.28192	−	4.74807i	−0.123755	−	0.257500i
$341$	8.75589	+	2.24813i	0.474158	+	0.121743i
$342$	−3.88116	+	1.82633i	−0.209869	+	0.0987568i
$343$	−15.6951	−	5.09965i	−0.847456	−	0.275355i
$344$	10.4212	+	5.72909i	0.561872	+	0.308892i
$345$	−41.9921	+	27.1336i	−2.26078	+	1.46083i
$346$	10.9498	+	1.38329i	0.588667	+	0.0743659i
$347$	−0.601812	+	4.76383i	−0.0323070	+	0.255736i	0.967687	+	0.252156i	$0.0811396\pi$
$347$	−0.601812	+	4.76383i	−0.0323070	+	0.255736i	−0.999994	+	0.00358011i	$0.998860\pi$
$348$	−9.34083	+	5.92787i	−0.500721	+	0.317767i
$349$	13.9245	−	10.1167i	0.745362	−	0.541537i	−0.149024	−	0.988834i	$-0.547613\pi$
$349$	13.9245	−	10.1167i	0.745362	−	0.541537i	0.894386	+	0.447297i	$0.147613\pi$
$350$	5.89331	−	3.36665i	0.315011	−	0.179955i
$351$	10.5377	+	7.65612i	0.562463	+	0.408654i
$352$	5.99761	+	0.377338i	0.319674	+	0.0201122i
$353$	−2.61899	−	4.76392i	−0.139395	−	0.253558i	0.797390	−	0.603464i	$-0.206213\pi$
$353$	−2.61899	−	4.76392i	−0.139395	−	0.253558i	−0.936785	+	0.349906i	$0.886213\pi$
$354$	5.54227	−	11.7779i	0.294568	−	0.625989i
$355$	1.35952	+	0.429467i	0.0721560	+	0.0227937i
$356$	−2.75938	+	14.4652i	−0.146247	+	0.766652i
$357$	−5.52609	−	7.60601i	−0.292472	−	0.402553i
$358$	8.39891	−	15.2776i	0.443896	−	0.807445i
$359$	−0.517073	+	0.814776i	−0.0272900	+	0.0430022i	−0.857699	−	0.514152i	$-0.828107\pi$
$359$	−0.517073	+	0.814776i	−0.0272900	+	0.0430022i	0.830409	+	0.557154i	$0.188107\pi$
$360$	12.6170	−	0.103264i	0.664976	−	0.00544250i
$361$	17.1285	+	6.78164i	0.901499	+	0.356929i
$362$	−3.15575	−	7.97052i	−0.165863	−	0.418921i
$363$	56.8874	−	47.0614i	2.98582	−	2.47008i
$364$	2.20431	−	0.565970i	0.115537	−	0.0296649i
$365$	26.0610	+	6.46445i	1.36410	+	0.338365i
$366$	37.4675	−	14.8344i	1.95846	−	0.775408i
$367$	−16.6977	−	17.7813i	−0.871614	−	0.928174i	0.126348	−	0.991986i	$-0.459674\pi$
$367$	−16.6977	−	17.7813i	−0.871614	−	0.928174i	−0.997962	+	0.0638117i	$0.979674\pi$
$368$	−4.47035	+	6.15292i	−0.233033	+	0.320743i
$369$	−17.0962	−	36.3312i	−0.889990	−	1.89133i
$370$	2.11928	+	15.7388i	0.110176	+	0.818224i
$371$	3.60541	−	1.98209i	0.187184	−	0.102905i
$372$	4.34401	−	0.828664i	0.225226	−	0.0429642i
$373$	1.23341	+	4.80381i	0.0638635	+	0.248732i	0.992497	−	0.122265i	$-0.0390159\pi$
$373$	1.23341	+	4.80381i	0.0638635	+	0.248732i	−0.928634	+	0.370997i	$0.879016\pi$
$374$	−14.1577			−0.732078
$375$	1.25786	−	32.8444i	0.0649557	−	1.69608i
$376$	1.81012			0.0933500
$377$	1.56901	+	6.11088i	0.0808081	+	0.314727i
$378$	10.3593	−	1.97614i	0.532823	−	0.101641i
$379$	−20.7293	+	11.3960i	−1.06479	+	0.585375i	−0.915046	−	0.403349i	$-0.867846\pi$
$379$	−20.7293	+	11.3960i	−1.06479	+	0.585375i	−0.149748	+	0.988724i	$0.547846\pi$
$380$	1.17368	+	1.22952i	0.0602087	+	0.0630733i
$381$	21.3719	+	45.4175i	1.09491	+	2.32681i
$382$	8.97350	−	12.3510i	0.459124	−	0.631930i
$383$	9.97185	+	10.6189i	0.509538	+	0.542602i	0.931371	−	0.364071i	$-0.118613\pi$
$383$	9.97185	+	10.6189i	0.509538	+	0.542602i	−0.421834	+	0.906673i	$0.638613\pi$
$384$	2.73340	−	1.08223i	0.139488	−	0.0552273i
$385$	−1.29429	−	18.1946i	−0.0659631	−	0.927284i
$386$	0.253898	−	0.0651899i	0.0129231	−	0.00331808i
$387$	51.7044	−	42.7736i	2.62828	−	2.17431i
$388$	4.04363	+	10.2130i	0.205284	+	0.518489i
$389$	−16.0187	−	6.34223i	−0.812178	−	0.321564i	−0.0749322	−	0.997189i	$-0.523874\pi$
$389$	−16.0187	−	6.34223i	−0.812178	−	0.321564i	−0.737246	+	0.675625i	$0.763874\pi$
$390$	3.31983	−	10.5093i	0.168106	−	0.532157i
$391$	9.60074	−	15.1283i	0.485530	−	0.765073i
$392$	−2.48459	+	4.51945i	−0.125491	+	0.228267i
$393$	−37.0830	−	51.0404i	−1.87059	−	2.57465i
$394$	−2.52774	+	13.2509i	−0.127346	+	0.667569i
$395$	18.4287	+	24.9333i	0.927250	+	1.25453i
$396$	14.4380	−	30.6824i	0.725538	−	1.54185i
$397$	−8.72013	−	15.8619i	−0.437651	−	0.796084i	0.561864	−	0.827230i	$-0.310084\pi$
$397$	−8.72013	−	15.8619i	−0.437651	−	0.796084i	−0.999515	+	0.0311455i	$0.990084\pi$
$398$	−10.5328	−	0.662669i	−0.527962	−	0.0332166i
$399$	2.45419	+	1.78308i	0.122863	+	0.0892655i
$400$	−1.62271	−	4.72936i	−0.0811356	−	0.236468i
$401$	−28.4917	+	20.7004i	−1.42281	+	1.03373i	−0.431507	+	0.902110i	$0.642018\pi$
$401$	−28.4917	+	20.7004i	−1.42281	+	1.03373i	−0.991300	+	0.131620i	$0.957982\pi$
$402$	0.470942	−	0.298869i	0.0234885	−	0.0149062i
$403$	0.316090	−	2.50211i	0.0157456	−	0.124639i
$404$	−10.3183	−	1.30350i	−0.513354	−	0.0648516i
$405$	4.76569	−	12.3307i	0.236809	−	0.612715i
$406$	4.47635	+	2.46089i	0.222157	+	0.122132i
$407$	40.5912	+	13.1889i	2.01203	+	0.653749i
$408$	−6.26682	+	2.94894i	−0.310254	+	0.145994i
$409$	−16.8391	−	4.32354i	−0.832639	−	0.213785i	−0.191774	−	0.981439i	$-0.561424\pi$
$409$	−16.8391	−	4.32354i	−0.832639	−	0.213785i	−0.640865	+	0.767654i	$0.721424\pi$
$410$	−11.5095	+	10.9868i	−0.568412	+	0.542597i
$411$	−9.97188	+	12.0539i	−0.491877	+	0.594577i
$412$	16.0003	+	10.1541i	0.788276	+	0.500255i
$413$	−5.99844	+	0.377390i	−0.295164	+	0.0185701i
$414$	22.9951	+	36.2344i	1.13015	+	1.78083i
$415$	−14.7172	+	3.90740i	−0.722438	+	0.191807i
$416$	−0.105272	−	1.67325i	−0.00516137	−	0.0820376i
$417$	9.70418	+	1.85117i	0.475216	+	0.0906522i
$418$	4.34462	−	1.41165i	0.212502	−	0.0690461i
$419$	21.3099	−	20.0113i	1.04106	−	0.977618i	0.0412891	−	0.999147i	$-0.486854\pi$
$419$	21.3099	−	20.0113i	1.04106	−	0.977618i	0.999768	+	0.0215294i	$0.00685354\pi$
$420$	−4.36271	−	7.78414i	−0.212878	−	0.379827i
$421$	2.81781	+	14.7715i	0.137332	+	0.719919i	0.982623	+	0.185613i	$0.0594270\pi$
$421$	2.81781	+	14.7715i	0.137332	+	0.719919i	−0.845291	+	0.534306i	$0.820573\pi$
$422$	−3.63595	+	3.87190i	−0.176995	+	0.188481i
$423$	3.76002	−	9.49672i	0.182818	−	0.461746i
$424$	−0.936621	−	2.88262i	−0.0454863	−	0.139992i
$425$	4.51501	+	10.8799i	0.219010	+	0.527751i
$426$	0.579246	−	1.78274i	0.0280646	−	0.0863739i
$427$	−14.3367	−	11.8603i	−0.693801	−	0.573962i
$428$	8.43566	+	3.96952i	0.407753	+	0.191874i
$429$	−21.5917	−	20.2760i	−1.04246	−	0.978933i
$430$	−22.5679	−	14.0643i	−1.08832	−	0.678241i
$431$	−4.62026	+	0.583675i	−0.222550	+	0.0281146i	−0.235817	−	0.971797i	$-0.575777\pi$
$431$	−4.62026	+	0.583675i	−0.222550	+	0.0281146i	0.0132673	+	0.999912i	$0.495777\pi$
$432$		−	7.76914i		−	0.373793i
$433$	1.60654	+	12.7171i	0.0772055	+	0.611145i	0.982487	+	0.186332i	$0.0596600\pi$
$433$	1.60654	+	12.7171i	0.0772055	+	0.611145i	−0.905281	+	0.424813i	$0.860340\pi$
$434$	−1.30159	−	1.57335i	−0.0624782	−	0.0755232i
$435$	21.5796	−	12.0945i	1.03466	−	0.579887i
$436$	0.0114998	−	0.182784i	0.000550741	−	0.00875379i
$437$	−1.43777	+	5.59975i	−0.0687780	+	0.267873i
$438$	8.77920	−	34.1927i	0.419486	−	1.63379i
$439$	−1.34899	+	21.4416i	−0.0643838	+	1.02335i	0.824689	+	0.565586i	$0.191350\pi$
$439$	−1.34899	+	21.4416i	−0.0643838	+	1.02335i	−0.889073	+	0.457765i	$0.848650\pi$
$440$	−13.3450	−	1.57501i	−0.636196	−	0.0750857i
$441$	18.5500	+	22.4231i	0.883335	+	1.06777i
$442$	0.495040	+	3.91865i	0.0235467	+	0.186391i
$443$			29.3130i			1.39270i	0.717701	+	0.696351i	$0.245194\pi$
$443$			29.3130i			1.39270i	−0.717701	+	0.696351i	$0.754806\pi$
$444$	20.7146	−	2.61686i	0.983071	−	0.124191i
$445$	7.92764	−	31.9598i	0.375806	−	1.51504i
$446$	0.639350	+	0.600390i	0.0302741	+	0.0284293i
$447$	−9.75027	−	4.58813i	−0.461172	−	0.217011i
$448$	−1.04592	−	0.865259i	−0.0494150	−	0.0408797i
$449$	−2.66528	+	8.20289i	−0.125782	+	0.387118i	−0.994043	−	0.108990i	$-0.965238\pi$
$449$	−2.66528	+	8.20289i	−0.125782	+	0.387118i	0.868260	+	0.496109i	$0.165238\pi$
$450$	−28.1831	−	1.31042i	−1.32856	−	0.0617737i
$451$	13.2143	+	40.6696i	0.622239	+	1.91506i
$452$	−2.53223	+	6.39568i	−0.119106	+	0.300827i
$453$	−6.04273	+	6.43485i	−0.283912	+	0.302336i
$454$	3.09921	+	16.2466i	0.145453	+	0.762493i
$455$	−4.99075	+	0.994435i	−0.233970	+	0.0466198i
$456$	1.62908	−	1.52981i	0.0762886	−	0.0716398i
$457$	15.2218	−	4.94585i	0.712044	−	0.231357i	0.0694734	−	0.997584i	$-0.477868\pi$
$457$	15.2218	−	4.94585i	0.712044	−	0.231357i	0.642570	+	0.766227i	$0.277868\pi$
$458$	−0.244974	−	0.0467314i	−0.0114469	−	0.00218361i
$459$	1.14927	+	18.2672i	0.0536435	+	0.852640i
$460$	10.7326	−	13.1918i	0.500409	−	0.615071i
$461$	−0.664780	−	1.04753i	−0.0309619	−	0.0487881i	0.828495	−	0.559997i	$-0.189198\pi$
$461$	−0.664780	−	1.04753i	−0.0309619	−	0.0487881i	−0.859456	+	0.511209i	$0.829198\pi$
$462$	−23.9343	+	1.50582i	−1.11353	+	0.0700571i
$463$	2.84663	+	1.80653i	0.132294	+	0.0839564i	0.600327	−	0.799755i	$-0.295037\pi$
$463$	2.84663	+	1.80653i	0.132294	+	0.0839564i	−0.468033	+	0.883711i	$0.655037\pi$
$464$	2.39871	−	2.89955i	0.111357	−	0.134608i
$465$	−9.80020	+	1.31963i	−0.454474	+	0.0611963i
$466$	1.57158	+	0.403512i	0.0728019	+	0.0186923i
$467$	14.3156	−	6.73643i	0.662449	−	0.311725i	−0.0650016	−	0.997885i	$-0.520705\pi$
$467$	14.3156	−	6.73643i	0.662449	−	0.311725i	0.727450	+	0.686161i	$0.240705\pi$
$468$	−8.99727	−	2.92339i	−0.415899	−	0.135134i
$469$	−0.225687	−	0.124072i	−0.0104212	−	0.00572912i
$470$	−4.04152	−	0.221079i	−0.186421	−	0.0101976i
$471$	−68.1799	−	8.61313i	−3.14157	−	0.396872i
$472$	−0.554938	+	4.39279i	−0.0255431	+	0.202194i
$473$	−60.3404	+	38.2932i	−2.77445	+	1.76072i
$474$	32.9780	−	23.9599i	1.51473	−	1.10051i
$475$	−2.47035	−	2.88854i	−0.113348	−	0.132535i
$476$	2.58721	+	1.87972i	0.118585	+	0.0861569i
$477$	−17.0691	−	1.07390i	−0.781540	−	0.0491703i
$478$	−0.362850	−	0.660023i	−0.0165964	−	0.0301887i
$479$	10.1961	−	21.6678i	0.465871	−	0.990026i	−0.524477	−	0.851424i	$-0.675739\pi$
$479$	10.1961	−	21.6678i	0.465871	−	0.990026i	0.990348	−	0.138602i	$-0.0442608\pi$
$480$	−6.23512	+	2.08248i	−0.284593	+	0.0950519i
$481$	2.23117	−	11.6962i	0.101733	−	0.533302i
$482$	6.18984	+	8.51959i	0.281940	+	0.388056i
$483$	14.6215	−	26.5963i	0.665300	−	1.21018i
$484$	−13.4566	+	21.2042i	−0.611665	+	0.963829i
$485$	−7.78096	−	23.2968i	−0.353315	−	1.05785i
$486$	5.51090	+	2.18192i	0.249980	+	0.0989739i
$487$	−0.215195	−	0.543522i	−0.00975144	−	0.0246293i	0.924819	−	0.380407i	$-0.124216\pi$
$487$	−0.215195	−	0.543522i	−0.00975144	−	0.0246293i	−0.934571	+	0.355778i	$0.884216\pi$
$488$	−10.5616	+	8.73735i	−0.478103	+	0.395521i
$489$	20.0846	−	5.15684i	0.908256	−	0.233201i
$490$	6.09939	−	9.78725i	0.275543	−	0.442143i
$491$	16.9733	−	6.72021i	0.765994	−	0.303279i	0.0475554	−	0.998869i	$-0.484857\pi$
$491$	16.9733	−	6.72021i	0.765994	−	0.303279i	0.718439	+	0.695590i	$0.244857\pi$
$492$	14.3204	+	15.2497i	0.645613	+	0.687508i
$493$	−5.21105	+	7.17240i	−0.234694	+	0.323029i
$494$	−0.542639	−	1.15317i	−0.0244145	−	0.0518834i
$495$	−35.9836	+	66.7421i	−1.61734	+	2.99983i
$496$	−1.31821	+	0.724690i	−0.0591892	+	0.0325395i
$497$	−0.850183	+	0.162181i	−0.0381359	+	0.00727482i
$498$	4.97868	+	19.3907i	0.223100	+	0.868917i
$499$	−2.78041			−0.124468			−0.0622340	−	0.998062i	$-0.519823\pi$
$499$	−2.78041			−0.124468			−0.0622340	+	0.998062i	$0.519823\pi$
$500$	3.04546	+	10.7576i	0.136197	+	0.481093i
$501$	−43.0592			−1.92375
$502$	0.115779	+	0.450929i	0.00516747	+	0.0201260i
$503$	−23.4080	+	4.46531i	−1.04371	+	0.199098i	−0.680605	−	0.732650i	$-0.738283\pi$
$503$	−23.4080	+	4.46531i	−1.04371	+	0.199098i	−0.363104	+	0.931749i	$0.618283\pi$
$504$	−6.71214	+	3.69003i	−0.298982	+	0.164367i
$505$	22.8787	+	4.17059i	1.01809	+	0.185589i
$506$	−19.4601	−	41.3547i	−0.865105	−	1.83844i
$507$	17.6069	−	24.2338i	0.781949	−	1.07626i
$508$	−11.6879	−	12.4464i	−0.518567	−	0.552217i
$509$	−17.9134	+	7.09243i	−0.793999	+	0.314367i	−0.729880	−	0.683576i	$-0.760424\pi$
$509$	−17.9134	+	7.09243i	−0.793999	+	0.314367i	−0.0641196	+	0.997942i	$0.520424\pi$
$510$	14.3523	−	5.81879i	0.635530	−	0.257661i
$511$	−15.7880	+	4.05367i	−0.698419	+	0.179324i
$512$	−0.770513	+	0.637424i	−0.0340522	+	0.0281704i
$513$	−2.17408	−	5.49111i	−0.0959881	−	0.242438i
$514$	4.13536	+	1.63731i	0.182403	+	0.0722185i
$515$	−34.4841	−	24.6255i	−1.51955	−	1.08513i
$516$	−18.7331	+	29.5186i	−0.824679	+	1.29949i
$517$	−5.24046	+	9.53236i	−0.230475	+	0.419233i
$518$	−5.66665	−	7.79947i	−0.248978	−	0.342689i
$519$	−6.07990	+	31.8720i	−0.266878	+	1.39902i
$520$	0.0306817	+	3.74876i	0.00134548	+	0.164394i
$521$	3.49340	−	7.42386i	0.153049	−	0.325245i	−0.813569	−	0.581469i	$-0.802478\pi$
$521$	3.49340	−	7.42386i	0.153049	−	0.325245i	0.966618	+	0.256223i	$0.0824783\pi$
$522$	−10.2297	−	18.6077i	−0.447741	−	0.814437i
$523$	11.1335	+	0.700460i	0.486834	+	0.0306290i	0.304311	−	0.952573i	$-0.401574\pi$
$523$	11.1335	+	0.700460i	0.486834	+	0.0306290i	0.182523	+	0.983202i	$0.441574\pi$
$524$	17.3616	+	12.6139i	0.758444	+	0.551042i
$525$	8.79003	+	17.9127i	0.383628	+	0.781775i
$526$	1.21828	−	0.885135i	0.0531197	−	0.0385937i
$527$	2.99223	−	1.89893i	0.130344	−	0.0827186i
$528$	−2.21425	+	17.5276i	−0.0963630	+	0.762792i
$529$	34.5677	+	4.36691i	1.50294	+	0.189866i
$530$	1.73915	+	6.55051i	0.0755440	+	0.284536i
$531$	21.8938	+	12.0362i	0.950110	+	0.522328i
$532$	−0.981370	−	0.318866i	−0.0425478	−	0.0138246i
$533$	10.7947	−	5.07959i	0.467570	−	0.220022i
$534$	−41.9321	−	10.7663i	−1.81458	−	0.465905i
$535$	−18.3497	−	9.89315i	−0.793328	−	0.427718i
$536$	−0.120937	+	0.146188i	−0.00522370	+	0.00631436i
$537$	43.2747	+	27.4630i	1.86744	+	1.18511i
$538$	−0.601407	+	0.0378373i	−0.0259285	+	0.00163128i
$539$	−16.6070	−	26.1684i	−0.715312	−	1.12715i
$540$	−0.948882	+	17.3464i	−0.0408334	+	0.746469i
$541$	−2.15634	−	34.2741i	−0.0927084	−	1.47356i	−0.719566	−	0.694424i	$-0.755659\pi$
$541$	−2.15634	−	34.2741i	−0.0927084	−	1.47356i	0.626858	−	0.779134i	$-0.284341\pi$
$542$	19.3430	+	3.68987i	0.830852	+	0.158494i
$543$	23.9684	−	7.78780i	1.02858	−	0.334207i
$544$	1.71738	−	1.61273i	0.0736320	−	0.0691450i
$545$	−0.0480003	+	0.406704i	−0.00205611	+	0.0174213i
$546$	1.25368	+	6.57201i	0.0536525	+	0.281256i
$547$	10.9436	−	11.6538i	0.467915	−	0.498279i	−0.451115	−	0.892466i	$-0.648974\pi$
$547$	10.9436	−	11.6538i	0.467915	−	0.498279i	0.919030	+	0.394186i	$0.128974\pi$
$548$	1.95893	−	4.94769i	0.0836813	−	0.211355i
$549$	23.9012	+	73.5605i	1.02008	+	3.13948i
$550$	29.6033	+	5.14646i	1.26229	+	0.219446i
$551$	0.883977	−	2.72060i	0.0376587	−	0.115901i
$552$	−17.2277	−	14.2520i	−0.733261	−	0.606606i
$553$	−17.0304	−	8.01390i	−0.724206	−	0.340786i
$554$	−10.7128	−	10.0600i	−0.455145	−	0.427409i
$555$	−46.5697	+	3.31277i	−1.97677	+	0.140619i
$556$	−3.33394	+	0.421174i	−0.141390	+	0.0178618i
$557$			33.4513i			1.41738i	0.705521	+	0.708689i	$0.250713\pi$
$557$			33.4513i			1.41738i	−0.705521	+	0.708689i	$0.749287\pi$
$558$	1.06385	+	8.42124i	0.0450364	+	0.356500i
$559$	12.7089	+	15.3624i	0.537527	+	0.649759i
$560$	2.22958	+	2.05963i	0.0942168	+	0.0870354i
$561$	2.61344	−	41.5394i	0.110339	−	1.75379i
$562$	1.03249	−	4.02130i	0.0435531	−	0.169628i
$563$	−8.01405	+	31.2126i	−0.337752	+	1.31546i	0.542142	+	0.840287i	$0.317613\pi$
$563$	−8.01405	+	31.2126i	−0.337752	+	1.31546i	−0.879894	+	0.475170i	$0.842387\pi$
$564$	−0.334139	+	5.31098i	−0.0140698	+	0.223633i
$565$	6.43492	−	13.9705i	0.270719	−	0.587745i
$566$	−9.77616	−	11.8174i	−0.410923	−	0.496720i
$567$	1.00581	+	7.96181i	0.0422401	+	0.334364i
$568$			0.637612i			0.0267536i
$569$	−7.11345	+	0.898638i	−0.298211	+	0.0376728i	−0.273015	−	0.962010i	$-0.588021\pi$
$569$	−7.11345	+	0.898638i	−0.298211	+	0.0376728i	−0.0251960	+	0.999683i	$0.508021\pi$
$570$	−3.82414	+	3.21668i	−0.160175	+	0.134732i
$571$	−4.31787	−	4.05475i	−0.180697	−	0.169686i	0.588920	−	0.808191i	$-0.299553\pi$
$571$	−4.31787	−	4.05475i	−0.180697	−	0.169686i	−0.769618	+	0.638505i	$0.779553\pi$
$572$	9.11631	+	4.28981i	0.381172	+	0.179366i
$573$	34.5818	+	28.6086i	1.44468	+	1.19514i
$574$	2.98488	−	9.18652i	0.124587	−	0.383438i
$575$	−25.5741	+	28.1429i	−1.06651	+	1.17364i
$576$	1.74369	+	5.36653i	0.0726538	+	0.223605i
$577$	−14.0497	+	35.4854i	−0.584896	+	1.47728i	0.272262	+	0.962223i	$0.412228\pi$
$577$	−14.0497	+	35.4854i	−0.584896	+	1.47728i	−0.857157	+	0.515055i	$0.827772\pi$
$578$	7.83788	−	8.34649i	0.326013	−	0.347168i
$579$	0.144402	+	0.756982i	0.00600115	+	0.0314591i
$580$	−5.70981	+	6.18093i	−0.237087	+	0.256649i
$581$	6.73842	−	6.32779i	0.279557	−	0.262521i
$582$	−30.7120	+	9.97892i	−1.27305	+	0.413640i
$583$	17.8919	+	3.41306i	0.741006	+	0.141355i
$584$	0.753991	+	11.9843i	0.0312004	+	0.495916i
$585$	19.7314	+	7.62602i	0.815794	+	0.315297i
$586$	−5.48979	−	8.65052i	−0.226781	−	0.357350i
$587$	5.56100	−	0.349868i	0.229527	−	0.0144406i	0.0523894	−	0.998627i	$-0.483316\pi$
$587$	5.56100	−	0.349868i	0.229527	−	0.0144406i	0.177137	+	0.984186i	$0.443316\pi$
$588$	−12.8016	−	8.12416i	−0.527930	−	0.335035i
$589$	−0.728894	+	0.881081i	−0.0300336	+	0.0363043i
$590$	1.77554	−	9.74013i	0.0730978	−	0.400995i
$591$	−38.4121	−	9.86254i	−1.58006	−	0.405691i
$592$	−6.42622	+	3.02395i	−0.264116	+	0.124283i
$593$	−2.44170	−	0.793357i	−0.100269	−	0.0325793i	0.258453	−	0.966024i	$-0.416787\pi$
$593$	−2.44170	−	0.793357i	−0.100269	−	0.0325793i	−0.358722	+	0.933445i	$0.616787\pi$
$594$	40.9134	+	22.4923i	1.67870	+	0.922871i
$595$	−5.54697	−	4.51290i	−0.227404	−	0.185011i
$596$	3.63654	+	0.459402i	0.148959	+	0.0188178i
$597$	3.88860	−	30.7814i	0.159150	−	1.25980i
$598$	−10.7659	+	6.83227i	−0.440252	+	0.279392i
$599$	13.8870	−	10.0895i	0.567407	−	0.412245i	−0.266756	−	0.963764i	$-0.585952\pi$
$599$	13.8870	−	10.0895i	0.567407	−	0.412245i	0.834162	+	0.551519i	$0.185952\pi$
$600$	14.1757	−	3.88810i	0.578720	−	0.158731i
$601$	17.1077	+	12.4295i	0.697837	+	0.507009i	0.879227	−	0.476403i	$-0.158060\pi$
$601$	17.1077	+	12.4295i	0.697837	+	0.507009i	−0.181390	+	0.983411i	$0.558060\pi$
$602$	16.1109	+	1.01361i	0.656632	+	0.0413118i
$603$	0.515755	+	0.938156i	0.0210032	+	0.0382047i
$604$	1.27847	−	2.71688i	0.0520201	−	0.110548i
$605$	32.6348	−	45.6998i	1.32679	−	1.85796i
$606$	5.72923	−	30.0337i	0.232734	−	1.22004i
$607$	−3.37615	−	4.64688i	−0.137034	−	0.188611i	0.734985	−	0.678084i	$-0.237189\pi$
$607$	−3.37615	−	4.64688i	−0.137034	−	0.188611i	−0.872019	+	0.489473i	$0.837189\pi$
$608$	−0.366213	+	0.666139i	−0.0148519	+	0.0270155i
$609$	−8.04668	+	12.6795i	−0.326068	+	0.513801i
$610$	24.6484	−	18.2182i	0.997985	−	0.737633i
$611$	2.82166	+	1.11717i	0.114152	+	0.0451960i
$612$	−4.89372	−	12.3601i	−0.197817	−	0.499628i
$613$	10.8182	−	8.94963i	0.436945	−	0.361472i	−0.392792	−	0.919627i	$-0.628491\pi$
$613$	10.8182	−	8.94963i	0.436945	−	0.361472i	0.829736	+	0.558155i	$0.188491\pi$
$614$	26.0263	−	6.68241i	1.05034	−	0.269680i
$615$	−30.1111	−	35.7974i	−1.21420	−	1.44349i
$616$	7.58460	−	3.00296i	0.305592	−	0.120993i
$617$	−2.64767	−	2.81948i	−0.106591	−	0.113508i	0.673460	−	0.739223i	$-0.264807\pi$
$617$	−2.64767	−	2.81948i	−0.106591	−	0.113508i	−0.780051	+	0.625715i	$0.784807\pi$
$618$	−32.7461	+	45.0711i	−1.31724	+	1.81303i
$619$	−11.3200	−	24.0562i	−0.454989	−	0.966901i	−0.992339	−	0.123542i	$-0.960575\pi$
$619$	−11.3200	−	24.0562i	−0.454989	−	0.966901i	0.537350	−	0.843359i	$-0.319425\pi$
$620$	3.03171	−	1.45704i	0.121756	−	0.0585161i
$621$	−51.7788	+	28.4656i	−2.07781	+	1.14229i
$622$	9.45697	−	1.80401i	0.379190	−	0.0723344i
$623$	4.97119	+	19.3615i	0.199167	+	0.775703i
$624$	4.92881			0.197310
$625$	−5.48581	−	24.3907i	−0.219433	−	0.975628i
$626$	4.47822			0.178986
$627$	3.33986	+	13.0079i	0.133381	+	0.519485i
$628$	22.9619	−	4.38022i	0.916281	−	0.174790i
$629$	14.6623	−	8.06068i	0.584625	−	0.321400i
$630$	15.4371	−	7.41905i	0.615028	−	0.295582i
$631$	15.4829	+	32.9029i	0.616365	+	1.30984i	0.932514	+	0.361134i	$0.117610\pi$
$631$	15.4829	+	32.9029i	0.616365	+	1.30984i	−0.316149	+	0.948710i	$0.602390\pi$
$632$	−8.15005	+	11.2176i	−0.324191	+	0.446211i
$633$	−10.6891	−	11.3828i	−0.424855	−	0.452425i
$634$	−16.3568	+	6.47610i	−0.649610	+	0.257199i
$635$	24.5758	+	29.2168i	0.975261	+	1.15943i
$636$	8.63064	−	2.21597i	0.342227	−	0.0878690i
$637$	−6.66234	+	5.51157i	−0.263972	+	0.218376i
$638$	8.32493	+	21.0264i	0.329587	+	0.832443i
$639$	3.34520	+	1.32446i	0.132334	+	0.0523947i
$640$	1.79820	−	1.32909i	0.0710801	−	0.0525369i
$641$	−21.0378	+	33.1503i	−0.830944	+	1.30936i	0.117712	+	0.993048i	$0.462444\pi$
$641$	−21.0378	+	33.1503i	−0.830944	+	1.30936i	−0.948656	+	0.316310i	$0.897556\pi$
$642$	−13.2039	+	24.0179i	−0.521117	+	0.947909i
$643$	12.2214	+	16.8214i	0.481967	+	0.663370i	0.978881	−	0.204429i	$-0.0655339\pi$
$643$	12.2214	+	16.8214i	0.481967	+	0.663370i	−0.496915	+	0.867799i	$0.665534\pi$
$644$	−1.93449	+	10.1410i	−0.0762297	+	0.399610i
$645$	45.4312	−	63.6192i	1.78885	−	2.50500i
$646$	0.762518	−	1.62043i	0.0300009	−	0.0637551i
$647$	−8.40379	−	15.2864i	−0.330387	−	0.600972i	0.657984	−	0.753032i	$-0.271409\pi$
$647$	−8.40379	−	15.2864i	−0.330387	−	0.600972i	−0.988371	+	0.152060i	$0.951409\pi$
$648$	5.90030	+	0.371215i	0.231786	+	0.0145827i
$649$	−21.5264	−	15.6399i	−0.844987	−	0.613919i
$650$	0.389350	−	8.37372i	0.0152716	−	0.328444i
$651$	4.85654	−	3.52849i	0.190343	−	0.138292i
$652$	−5.95542	+	3.77942i	−0.233232	+	0.148014i
$653$	−0.195939	+	1.55101i	−0.00766767	+	0.0606959i	−0.995484	−	0.0949266i	$-0.969738\pi$
$653$	−0.195939	+	1.55101i	−0.00766767	+	0.0606959i	0.987817	+	0.155623i	$0.0497383\pi$
$654$	0.534175	+	0.0674820i	0.0208879	+	0.00263875i
$655$	−37.2231	−	30.2839i	−1.45443	−	1.18329i
$656$	−6.23567	−	3.42809i	−0.243462	−	0.133844i
$657$	64.4415	+	20.9383i	2.51410	+	0.816881i
$658$	2.22327	−	1.04619i	0.0866719	−	0.0407847i
$659$	−33.2942	−	8.54850i	−1.29696	−	0.333002i	−0.463752	−	0.885965i	$-0.653497\pi$
$659$	−33.2942	−	8.54850i	−1.29696	−	0.333002i	−0.833206	+	0.552963i	$0.813497\pi$
$660$	7.08456	−	38.8640i	0.275766	−	1.51278i
$661$	4.14991	−	5.01638i	0.161413	−	0.195115i	−0.683606	−	0.729851i	$-0.739589\pi$
$661$	4.14991	−	5.01638i	0.161413	−	0.195115i	0.845019	+	0.534737i	$0.179589\pi$
$662$	−11.4212	−	7.24809i	−0.443896	−	0.281705i
$663$	−11.5889	+	0.729110i	−0.450075	+	0.0283163i
$664$	−3.64885	−	5.74966i	−0.141603	−	0.223130i
$665$	2.15219	+	0.831802i	0.0834583	+	0.0322559i
$666$	2.51635	+	39.9962i	0.0975065	+	1.54982i
$667$	−28.1133	−	5.36290i	−1.08855	−	0.207652i
$668$	13.9299	−	4.52610i	0.538964	−	0.175120i
$669$	−1.87959	+	1.76505i	−0.0726692	+	0.0682409i
$670$	0.287875	−	0.311628i	0.0111216	−	0.0120392i
$671$	−15.4353	−	80.9144i	−0.595871	−	3.12367i
$672$	2.73178	−	2.90905i	0.105381	−	0.112219i
$673$	13.3692	−	33.7668i	0.515345	−	1.30161i	−0.406357	−	0.913714i	$-0.633201\pi$
$673$	13.3692	−	33.7668i	0.515345	−	1.30161i	0.921702	−	0.387898i	$-0.126799\pi$
$674$	6.76181	+	20.8107i	0.260455	+	0.801599i
$675$	4.23719	−	38.6139i	0.163090	−	1.48625i
$676$	−3.14863	+	9.69047i	−0.121101	+	0.372711i
$677$	14.7827	+	12.2293i	0.568146	+	0.470012i	0.876595	−	0.481230i	$-0.159810\pi$
$677$	14.7827	+	12.2293i	0.568146	+	0.470012i	−0.308448	+	0.951241i	$0.599810\pi$
$678$	−18.2978	−	8.61028i	−0.702722	−	0.330676i
$679$	10.8693	+	10.2070i	0.417127	+	0.391708i
$680$	−4.03141	+	3.39103i	−0.154598	+	0.130040i
$681$	−48.2405	+	6.09419i	−1.84858	+	0.233530i
$682$		−	9.03990i		−	0.346156i
$683$	−1.53962	−	12.1874i	−0.0589120	−	0.466336i	−0.993782	−	0.111346i	$-0.964484\pi$
$683$	−1.53962	−	12.1874i	−0.0589120	−	0.466336i	0.934870	−	0.354991i	$-0.115516\pi$
$684$	2.73416	+	3.30503i	0.104543	+	0.126371i
$685$	−4.97805	+	10.8076i	−0.190201	+	0.412937i
$686$	−1.03622	+	16.4702i	−0.0395631	+	0.628837i
$687$	0.182333	−	0.710140i	0.00695643	−	0.0270935i
$688$	2.95746	−	11.5185i	0.112752	−	0.439140i
$689$	0.319075	−	5.07155i	0.0121558	−	0.193211i
$690$	36.7242	+	33.9250i	1.39807	+	1.29150i
$691$	14.0240	+	16.9520i	0.533496	+	0.644886i	0.966549	−	0.256482i	$-0.0825636\pi$
$691$	14.0240	+	16.9520i	0.533496	+	0.644886i	−0.433053	+	0.901369i	$0.642564\pi$
$692$	−1.38329	−	10.9498i	−0.0525846	−	0.416250i
$693$		−	46.0300i		−	1.74854i
$694$	4.76383	−	0.601812i	0.180833	−	0.0228445i
$695$	7.49522	−	0.533178i	0.284310	−	0.0202246i
$696$	8.06461	+	7.57317i	0.305688	+	0.287060i
$697$	15.1687	+	7.13787i	0.574557	+	0.270366i
$698$	−13.2618	−	10.9711i	−0.501966	−	0.415263i
$699$	−1.47403	+	4.53659i	−0.0557529	+	0.171590i
$700$	−4.72649	−	4.87091i	−0.178644	−	0.184103i
$701$	0.925953	+	2.84979i	0.0349728	+	0.107635i	0.967019	−	0.254704i	$-0.0819781\pi$
$701$	0.925953	+	2.84979i	0.0349728	+	0.107635i	−0.932046	+	0.362339i	$0.881978\pi$
$702$	4.79496	−	12.1107i	0.180974	−	0.457088i
$703$	−3.69574	+	3.93557i	−0.139388	+	0.148433i
$704$	−1.12606	−	5.90303i	−0.0424401	−	0.222479i
$705$	1.39470	−	11.8172i	0.0525273	−	0.445061i
$706$	−3.96294	+	3.72145i	−0.149147	+	0.140059i
$707$	−13.4267	+	4.36260i	−0.504963	+	0.164073i
$708$	−12.7862	−	2.43910i	−0.480535	−	0.0916669i
$709$	2.84602	+	45.2362i	0.106885	+	1.69888i	0.577378	+	0.816477i	$0.304076\pi$
$709$	2.84602	+	45.2362i	0.106885	+	1.69888i	−0.470493	+	0.882404i	$0.655924\pi$
$710$	0.0778746	−	1.42361i	0.00292258	−	0.0534273i
$711$	41.9230	+	66.0602i	1.57224	+	2.47745i
$712$	14.6969	−	0.924653i	0.550791	−	0.0346528i
$713$	9.65966	+	6.13020i	0.361757	+	0.229578i
$714$	−5.99277	+	7.24402i	−0.224274	+	0.271101i
$715$	−19.8303	−	10.6914i	−0.741612	−	0.399836i
$716$	−16.8863	−	4.33567i	−0.631071	−	0.162032i
$717$	2.00352	−	0.942783i	0.0748227	−	0.0352089i
$718$	0.917769	+	0.298201i	0.0342508	+	0.0111288i
$719$	34.9215	+	19.1982i	1.30235	+	0.715974i	0.973560	−	0.228429i	$-0.0733590\pi$
$719$	34.9215	+	19.1982i	1.30235	+	0.715974i	0.328791	+	0.944403i	$0.393359\pi$
$720$	−3.23775	−	12.1950i	−0.120664	−	0.454480i
$721$	25.5209	+	3.22404i	0.950447	+	0.120069i
$722$	2.30891	−	18.2769i	0.0859286	−	0.680195i
$723$	−26.1395	+	16.5886i	−0.972137	+	0.616937i
$724$	−6.93530	+	5.03879i	−0.257749	+	0.187265i
$725$	13.5034	−	13.1030i	0.501503	−	0.486633i
$726$	−59.7302	−	43.3965i	−2.21680	−	1.61060i
$727$	19.1626	+	1.20561i	0.710703	+	0.0447136i	0.414027	−	0.910265i	$-0.364122\pi$
$727$	19.1626	+	1.20561i	0.710703	+	0.0447136i	0.296676	+	0.954978i	$0.404122\pi$
$728$	−1.09638	−	1.99430i	−0.0406345	−	0.0739138i
$729$	−14.9707	+	31.8144i	−0.554471	+	1.17831i
$730$	−0.219753	−	26.8499i	−0.00813342	−	0.993759i
$731$	−5.24981	+	27.5205i	−0.194171	+	1.01788i
$732$	−23.6862	−	32.6012i	−0.875465	−	1.20497i
$733$	12.4587	−	22.6623i	0.460173	−	0.837051i	−0.539816	−	0.841783i	$-0.681506\pi$
$733$	12.4587	−	22.6623i	0.460173	−	0.837051i	0.999989	+	0.00473196i	$0.00150623\pi$
$734$	−13.0701	+	20.5951i	−0.482425	+	0.760181i
$735$	27.5903	+	19.7026i	1.01768	+	0.726740i
$736$	7.07134	+	2.79974i	0.260653	+	0.103200i
$737$	−0.419723	−	1.06010i	−0.0154607	−	0.0390493i
$738$	−30.9381	+	25.5942i	−1.13885	+	0.942137i
$739$	−25.4682	+	6.53913i	−0.936865	+	0.240546i	−0.686104	−	0.727503i	$-0.740681\pi$
$739$	−25.4682	+	6.53913i	−0.936865	+	0.240546i	−0.250760	+	0.968049i	$0.580681\pi$
$740$	14.7173	−	5.96679i	0.541020	−	0.219344i
$741$	3.48361	−	1.37926i	0.127974	−	0.0506683i
$742$	−2.81645	−	2.99922i	−0.103395	−	0.110105i
$743$	18.1408	−	24.9686i	0.665520	−	0.916010i	−0.334128	−	0.942528i	$-0.608442\pi$
$743$	18.1408	−	24.9686i	0.665520	−	0.916010i	0.999648	+	0.0265174i	$0.00844174\pi$
$744$	−1.88294	−	4.00145i	−0.0690319	−	0.146700i
$745$	−8.06330	−	1.46987i	−0.295417	−	0.0538518i
$746$	4.34616	−	2.38932i	0.159124	−	0.0874792i
$747$	−37.7448	+	7.20020i	−1.38101	+	0.263441i
$748$	3.52088	+	13.7129i	0.128736	+	0.501394i
$749$	12.6553			0.462413
$750$	−32.1254	+	6.94973i	−1.17305	+	0.253768i
$751$	8.25427			0.301202			0.150601	−	0.988595i	$-0.451879\pi$
$751$	8.25427			0.301202			0.150601	+	0.988595i	$0.451879\pi$
$752$	−0.450159	−	1.75325i	−0.0164156	−	0.0639346i
$753$	−1.34442	+	0.256462i	−0.0489934	+	0.00934599i
$754$	5.52870	−	3.03943i	0.201344	−	0.110690i
$755$	−3.18630	+	5.90992i	−0.115961	+	0.215084i
$756$	−4.49030	−	9.54236i	−0.163310	−	0.347052i
$757$	25.3051	−	34.8295i	0.919730	−	1.26590i	−0.0440028	−	0.999031i	$-0.514011\pi$
$757$	25.3051	−	34.8295i	0.919730	−	1.26590i	0.963733	−	0.266869i	$-0.0859890\pi$
$758$	16.1932	+	17.2440i	0.588163	+	0.626330i
$759$	124.929	−	49.4628i	4.53463	−	1.79539i
$760$	0.899013	−	1.44258i	0.0326106	−	0.0523279i
$761$	−7.31341	+	1.87776i	−0.265111	+	0.0680689i	−0.378905	−	0.925435i	$-0.623699\pi$
$761$	−7.31341	+	1.87776i	−0.265111	+	0.0680689i	0.113795	+	0.993504i	$0.463699\pi$
$762$	38.6757	−	31.9953i	1.40107	−	1.15907i
$763$	−0.0915186	−	0.231150i	−0.00331320	−	0.00836818i
$764$	−14.1946	−	5.62002i	−0.513541	−	0.203325i
$765$	9.41675	+	28.1945i	0.340463	+	1.01937i
$766$	7.80543	−	12.2994i	0.282022	−	0.444395i
$767$	−3.57619	+	6.50507i	−0.129129	+	0.234884i
$768$	−1.72800	−	2.37839i	−0.0623538	−	0.0858226i
$769$	1.69431	−	8.88188i	0.0610983	−	0.320289i	−0.938596	−	0.345019i	$-0.887873\pi$
$769$	1.69431	−	8.88188i	0.0610983	−	0.320289i	0.999694	+	0.0247300i	$0.00787260\pi$
$770$	−17.3011	+	5.77844i	−0.623489	+	0.208241i
$771$	−5.56730	+	11.8311i	−0.200501	+	0.426087i
$772$	−0.126284	−	0.229709i	−0.00454505	−	0.00826742i
$773$	11.0765	+	0.696873i	0.398393	+	0.0250648i	0.260724	−	0.965413i	$-0.416039\pi$
$773$	11.0765	+	0.696873i	0.398393	+	0.0250648i	0.137669	+	0.990478i	$0.456039\pi$
$774$	−54.2882	−	39.4427i	−1.95135	−	1.41774i
$775$	−6.94694	+	2.88290i	−0.249541	+	0.103557i
$776$	8.88657	−	6.45647i	0.319009	−	0.231774i
$777$	23.9300	−	15.1865i	0.858485	−	0.544811i
$778$	−2.15930	+	17.0926i	−0.0774148	+	0.612801i
$779$	−5.36658	−	0.677957i	−0.192278	−	0.0242903i
$780$	−11.0047	−	0.601979i	−0.394032	−	0.0215543i
$781$	−3.35775	−	1.84594i	−0.120150	−	0.0660529i
$782$	−17.0407	−	5.53685i	−0.609373	−	0.197997i
$783$	26.4538	−	12.4482i	0.945382	−	0.444863i
$784$	4.99535	+	1.28259i	0.178405	+	0.0458067i
$785$	−51.8028	+	6.97541i	−1.84892	+	0.248963i
$786$	−40.2147	+	48.6112i	−1.43441	+	1.73390i
$787$	12.2615	+	7.78138i	0.437075	+	0.277376i	0.736105	−	0.676868i	$-0.236663\pi$
$787$	12.2615	+	7.78138i	0.437075	+	0.277376i	−0.299030	+	0.954244i	$0.596663\pi$
$788$	13.4632	−	0.847033i	0.479607	−	0.0301743i
$789$	2.37214	+	3.73789i	0.0844503	+	0.133072i
$790$	19.5669	−	24.0504i	0.696159	−	0.855675i
$791$	0.586300	+	9.31897i	0.0208464	+	0.331345i
$792$	−33.3090	−	6.35403i	−1.18358	−	0.225781i
$793$	−21.8562	+	7.10151i	−0.776137	+	0.252182i
$794$	−13.1949	+	12.3909i	−0.468270	+	0.439735i
$795$	−19.5405	+	3.89357i	−0.693031	+	0.138091i
$796$	1.97756	+	10.3667i	0.0700926	+	0.367438i
$797$	−16.4972	+	17.5677i	−0.584360	+	0.622280i	−0.951412	−	0.307920i	$-0.900367\pi$
$797$	−16.4972	+	17.5677i	−0.584360	+	0.622280i	0.367052	+	0.930200i	$0.380367\pi$
$798$	1.11672	−	2.82052i	0.0395316	−	0.0998455i
$799$	1.31779	+	4.05575i	0.0466202	+	0.143482i
$800$	−4.17722	+	2.74787i	−0.147687	+	0.0971520i
$801$	25.6776	−	79.0275i	0.907273	−	2.79230i
$802$	27.1357	+	22.4486i	0.958194	+	0.792687i
$803$	−65.2941	−	30.7251i	−2.30418	−	1.08426i
$804$	−0.406598	−	0.381821i	−0.0143396	−	0.0134658i
$805$	5.55777	−	22.4058i	0.195886	−	0.789700i
$806$	−2.50211	+	0.316090i	−0.0881331	+	0.0111338i
$807$		−	1.77154i		−	0.0623612i
$808$	1.30350	+	10.3183i	0.0458570	+	0.362996i
$809$	1.77305	+	2.14326i	0.0623373	+	0.0753528i	0.800760	−	0.598985i	$-0.204429\pi$
$809$	1.77305	+	2.14326i	0.0623373	+	0.0753528i	−0.738423	+	0.674338i	$0.764429\pi$
$810$	−13.1284	−	1.54946i	−0.461286	−	0.0544423i
$811$	1.69461	−	26.9351i	0.0595058	−	0.945818i	−0.849118	−	0.528203i	$-0.822866\pi$
$811$	1.69461	−	26.9351i	0.0595058	−	0.945818i	0.908624	−	0.417615i	$-0.137134\pi$
$812$	1.27036	−	4.94771i	0.0445808	−	0.173631i
$813$	−14.3969	+	56.0721i	−0.504920	+	1.96653i
$814$	2.67991	−	42.5959i	0.0939308	−	1.49299i
$815$	13.7584	−	7.71107i	0.481937	−	0.270107i
$816$	4.41479	+	5.33657i	0.154549	+	0.186817i
$817$	−1.13301	−	8.96873i	−0.0396392	−	0.313776i
$818$			17.3853i			0.607861i
$819$	−12.7404	+	1.60949i	−0.445187	+	0.0562402i
$820$	13.5039	+	8.41559i	0.471576	+	0.293885i
$821$	26.1868	+	24.5910i	0.913925	+	0.858232i	0.990314	−	0.138846i	$-0.0443392\pi$
$821$	26.1868	+	24.5910i	0.913925	+	0.858232i	−0.0763894	+	0.997078i	$0.524339\pi$
$822$	14.1551	+	6.66091i	0.493717	+	0.232326i
$823$	−25.5853	−	21.1660i	−0.891849	−	0.737802i	0.0739040	−	0.997265i	$-0.476454\pi$
$823$	−25.5853	−	21.1660i	−0.891849	−	0.737802i	−0.965753	+	0.259464i	$0.916454\pi$
$824$	5.85596	−	18.0228i	0.204002	−	0.627854i
$825$	−20.5646	+	85.9076i	−0.715966	+	2.99092i
$826$	1.85728	+	5.71613i	0.0646232	+	0.198890i
$827$	13.3498	−	33.7177i	0.464217	−	1.17248i	−0.489562	−	0.871969i	$-0.662843\pi$
$827$	13.3498	−	33.7177i	0.464217	−	1.17248i	0.953779	−	0.300510i	$-0.0971568\pi$
$828$	29.3774	−	31.2838i	1.02094	−	1.08719i
$829$	4.00798	+	21.0106i	0.139203	+	0.729727i	0.981612	+	0.190888i	$0.0611368\pi$
$829$	4.00798	+	21.0106i	0.139203	+	0.729727i	−0.842409	+	0.538839i	$0.818863\pi$
$830$	7.44465	+	13.2831i	0.258408	+	0.461063i
$831$	31.4941	−	29.5749i	1.09252	−	1.02594i
$832$	−1.59450	+	0.518084i	−0.0552792	+	0.0179613i
$833$	−11.9351	−	2.27674i	−0.413525	−	0.0788842i
$834$	−0.620318	−	9.85967i	−0.0214798	−	0.341412i
$835$	−31.6545	+	8.40423i	−1.09545	+	0.290840i
$836$	−2.44776	−	3.85706i	−0.0846577	−	0.133399i
$837$	−11.6639	+	0.733828i	−0.403162	+	0.0253648i
$838$	−24.6822	−	15.6638i	−0.852633	−	0.541097i
$839$	−16.1853	+	19.5647i	−0.558780	+	0.675448i	−0.971945	−	0.235207i	$-0.924423\pi$
$839$	−16.1853	+	19.5647i	−0.558780	+	0.675448i	0.413166	+	0.910656i	$0.364423\pi$
$840$	−6.45463	+	6.16148i	−0.222706	+	0.212591i
$841$	−14.3726	−	3.69026i	−0.495608	−	0.127250i
$842$	13.6067	−	6.40281i	0.468917	−	0.220655i
$843$	11.6081	+	3.77169i	0.399803	+	0.129904i
$844$	4.65448	+	2.55882i	0.160214	+	0.0880782i
$845$	8.21358	−	21.2517i	0.282556	−	0.731079i
$846$	−10.1334	−	1.28015i	−0.348395	−	0.0440125i
$847$	−4.27263	+	33.8214i	−0.146809	+	1.16212i
$848$	−2.55913	+	1.62407i	−0.0878809	+	0.0557709i
$849$	36.4773	−	26.5023i	1.25190	−	0.909556i
$850$	9.41521	−	7.07887i	0.322939	−	0.242803i
$851$	43.6989	+	31.7491i	1.49798	+	1.08835i
$852$	−1.87078	−	0.117700i	−0.0640919	−	0.00403232i
$853$	−21.2791	−	38.7065i	−0.728582	−	1.32529i	−0.937717	−	0.347399i	$-0.887065\pi$
$853$	−21.2791	−	38.7065i	−0.728582	−	1.32529i	0.209136	−	0.977887i	$-0.432935\pi$
$854$	−7.92234	+	16.8358i	−0.271097	+	0.576110i
$855$	−5.70098	−	7.71318i	−0.194970	−	0.263785i
$856$	1.74695	−	9.15781i	0.0597094	−	0.313008i
$857$	23.5003	+	32.3453i	0.802754	+	1.10490i	0.992401	+	0.123044i	$0.0392655\pi$
$857$	23.5003	+	32.3453i	0.802754	+	1.10490i	−0.189648	+	0.981852i	$0.560735\pi$
$858$	−14.2693	+	25.9558i	−0.487147	+	0.886117i
$859$	25.7458	−	40.5689i	0.878436	−	1.38419i	−0.0444054	−	0.999014i	$-0.514139\pi$
$859$	25.7458	−	40.5689i	0.878436	−	1.38419i	0.922841	−	0.385180i	$-0.125861\pi$
$860$	−8.01002	+	25.3566i	−0.273139	+	0.864652i
$861$	26.4027	+	10.4536i	0.899801	+	0.356256i
$862$	1.71435	+	4.32995i	0.0583910	+	0.147479i
$863$	21.0718	−	17.4321i	0.717294	−	0.593397i	−0.205516	−	0.978654i	$-0.565887\pi$
$863$	21.0718	−	17.4321i	0.717294	−	0.593397i	0.922809	+	0.385257i	$0.125887\pi$
$864$	−7.52505	+	1.93211i	−0.256008	+	0.0657316i
$865$	1.75115	+	24.6170i	0.0595408	+	0.837002i
$866$	11.9180	−	4.71868i	0.404991	−	0.160347i
$867$	23.0422	+	24.5374i	0.782553	+	0.833334i
$868$	−1.20023	+	1.65197i	−0.0407384	+	0.0560716i
$869$	−35.4783	−	75.3951i	−1.20352	−	2.55760i
$870$	−17.0811	−	17.8938i	−0.579105	−	0.606657i
$871$	−0.278744	+	0.153241i	−0.00944488	+	0.00519237i
$872$	−0.179902	+	0.0343181i	−0.00609224	+	0.00116216i
$873$	−15.4142	−	60.0344i	−0.521692	−	2.03186i
$874$	5.78139			0.195558
$875$	9.95806	+	11.4527i	0.336644	+	0.387172i
$876$	−35.3018			−1.19274
$877$	−1.95115	−	7.59921i	−0.0658855	−	0.256607i	0.927105	−	0.374802i	$-0.122289\pi$
$877$	−1.95115	−	7.59921i	−0.0658855	−	0.256607i	−0.992990	+	0.118195i	$0.962289\pi$
$878$	21.1034	−	4.02569i	0.712206	−	0.135861i
$879$	26.3944	−	14.5105i	0.890262	−	0.489425i
$880$	1.79323	+	13.3174i	0.0604497	+	0.448929i
$881$	−0.424128	−	0.901318i	−0.0142892	−	0.0303662i	0.897555	−	0.440902i	$-0.145342\pi$
$881$	−0.424128	−	0.901318i	−0.0142892	−	0.0303662i	−0.911844	+	0.410536i	$0.865342\pi$
$882$	17.1055	−	23.5437i	0.575971	−	0.792756i
$883$	−30.6791	−	32.6699i	−1.03243	−	1.09943i	−0.994974	−	0.100133i	$-0.968073\pi$
$883$	−30.6791	−	32.6699i	−1.03243	−	1.09943i	−0.0374603	−	0.999298i	$-0.511927\pi$
$884$	3.67243	−	1.45402i	0.123517	−	0.0489039i
$885$	28.2502	+	7.00749i	0.949621	+	0.235554i
$886$	28.3921	−	7.28985i	0.953851	−	0.244907i
$887$	−20.4888	+	16.9498i	−0.687948	+	0.569120i	−0.914355	−	0.404913i	$-0.867302\pi$
$887$	−20.4888	+	16.9498i	−0.687948	+	0.569120i	0.226407	+	0.974033i	$0.427302\pi$
$888$	−7.68616	−	19.4130i	−0.257931	−	0.651458i
$889$	−21.5491	−	8.53190i	−0.722734	−	0.286151i
$890$	−32.9272	+	0.269493i	−1.10372	+	0.00903342i
$891$	−19.0367	+	29.9971i	−0.637755	+	1.00494i
$892$	0.422527	−	0.768574i	0.0141473	−	0.0257338i
$893$	−0.808789	−	1.11320i	−0.0270651	−	0.0372519i
$894$	−2.01919	+	10.5850i	−0.0675319	+	0.354014i
$895$	37.1731	+	11.7428i	1.24256	+	0.392518i
$896$	−0.577966	+	1.22824i	−0.0193085	+	0.0410326i
$897$	−18.0589	−	32.8490i	−0.602968	−	1.09679i
$898$	8.60801	+	0.541570i	0.287253	+	0.0180724i
$899$	−4.57967	−	3.32733i	−0.152741	−	0.110973i
$900$	5.73959	+	27.6235i	0.191320	+	0.920784i
$901$	5.77692	−	4.19717i	0.192457	−	0.139828i
$902$	36.1056	−	22.9133i	1.20218	−	0.762930i
$903$	−5.94798	+	47.0831i	−0.197936	+	1.56683i
$904$	6.82449	+	0.862133i	0.226979	+	0.0286741i
$905$	16.1001	−	10.4032i	0.535185	−	0.345815i
$906$	7.73546	+	4.25260i	0.256993	+	0.141283i
$907$	−16.2641	−	5.28454i	−0.540042	−	0.175470i	0.0262796	−	0.999655i	$-0.491634\pi$
$907$	−16.2641	−	5.28454i	−0.540042	−	0.175470i	−0.566322	+	0.824184i	$0.691634\pi$
$908$	14.9655	−	7.04222i	0.496647	−	0.233704i
$909$	56.8420	+	14.5945i	1.88533	+	0.484071i
$910$	2.20434	+	4.58665i	0.0730732	+	0.152046i
$911$	17.2138	−	20.8079i	0.570317	−	0.689395i	−0.403953	−	0.914780i	$-0.632364\pi$
$911$	17.2138	−	20.8079i	0.570317	−	0.689395i	0.974270	+	0.225385i	$0.0723640\pi$
$912$	−1.88688	−	1.19745i	−0.0624809	−	0.0396516i
$913$	40.8422	−	2.56958i	1.35168	−	0.0850406i
$914$	−8.57596	−	13.5136i	−0.283668	−	0.446989i
$915$	48.9030	+	75.6826i	1.61668	+	2.50199i
$916$	0.0156594	+	0.248900i	0.000517402	+	0.00822388i
$917$	28.6146	+	5.45853i	0.944937	+	0.180256i
$918$	17.4075	−	5.65603i	0.574533	−	0.186677i
$919$	−36.3945	+	34.1767i	−1.20054	+	1.12739i	−0.211872	+	0.977297i	$0.567956\pi$
$919$	−36.3945	+	34.1767i	−1.20054	+	1.12739i	−0.988672	+	0.150089i	$0.952044\pi$
$920$	−15.4465	−	7.11473i	−0.509254	−	0.234566i
$921$	14.8022	+	77.5959i	0.487749	+	2.55687i
$922$	−0.849291	+	0.904403i	−0.0279699	+	0.0297849i
$923$	−0.393522	+	0.993922i	−0.0129529	+	0.0327153i
$924$	7.41073	+	22.8079i	0.243795	+	0.750325i
$925$	−33.5886	+	11.5247i	−1.10439	+	0.378931i
$926$	1.04184	−	3.20646i	0.0342371	−	0.105371i
$927$	−82.3916	−	68.1603i	−2.70610	−	2.23868i
$928$	−3.40499	−	1.60226i	−0.111774	−	0.0525969i
$929$	5.13551	+	4.82256i	0.168491	+	0.158223i	0.764206	−	0.644973i	$-0.223131\pi$
$929$	5.13551	+	4.82256i	0.168491	+	0.158223i	−0.595715	+	0.803196i	$0.703131\pi$
$930$	3.71538	+	9.16413i	0.121832	+	0.300504i
$931$	3.88955	−	0.491365i	0.127475	−	0.0161038i
$932$		−	1.62255i		−	0.0531485i
$933$	3.54735	+	28.0802i	0.116135	+	0.919305i
$934$	−10.0849	−	12.1906i	−0.329989	−	0.398889i
$935$	−6.18635	−	31.0473i	−0.202315	−	1.01535i
$936$	−0.594017	+	9.44162i	−0.0194160	+	0.308609i
$937$	−5.71898	+	22.2740i	−0.186831	+	0.727659i	0.804238	+	0.594308i	$0.202574\pi$
$937$	−5.71898	+	22.2740i	−0.186831	+	0.727659i	−0.991069	+	0.133351i	$0.957426\pi$
$938$	−0.0640483	+	0.249452i	−0.00209125	+	0.00814489i
$939$	−0.826655	+	13.1393i	−0.0269769	+	0.428785i
$940$	0.790951	+	3.96952i	0.0257980	+	0.129472i
$941$	−15.4198	−	18.6394i	−0.502672	−	0.607625i	0.456752	−	0.889594i	$-0.349013\pi$
$941$	−15.4198	−	18.6394i	−0.502672	−	0.607625i	−0.959424	+	0.281969i	$0.909013\pi$
$942$	8.61313	+	68.1799i	0.280631	+	2.22142i
$943$			54.1191i			1.76236i
$944$	4.39279	−	0.554938i	0.142973	−	0.0180617i
$945$	8.86016	+	21.8539i	0.288221	+	0.710909i
$946$	52.0962	+	48.9215i	1.69379	+	1.59058i
$947$	48.8440	+	22.9842i	1.58722	+	0.746887i	0.998127	−	0.0611803i	$-0.0194865\pi$
$947$	48.8440	+	22.9842i	1.58722	+	0.746887i	0.589090	+	0.808068i	$0.299486\pi$
$948$	−31.4084	−	25.9833i	−1.02010	−	0.843899i
$949$	−6.22117	+	19.1468i	−0.201948	+	0.621531i
$950$	−2.18344	+	3.11109i	−0.0708403	+	0.100937i
$951$	−15.9818	−	49.1869i	−0.518246	−	1.59500i
$952$	1.17725	−	2.97340i	0.0381550	−	0.0963684i
$953$	−2.12809	+	2.26619i	−0.0689357	+	0.0734090i	−0.762512	−	0.646974i	$-0.776034\pi$
$953$	−2.12809	+	2.26619i	−0.0689357	+	0.0734090i	0.693576	+	0.720383i	$0.256034\pi$
$954$	3.20475	+	16.7999i	0.103758	+	0.543917i
$955$	31.0062	+	14.2816i	1.00334	+	0.462143i
$956$	−0.549049	+	0.515592i	−0.0177575	+	0.0166754i
$957$	−63.2291	+	20.5444i	−2.04391	+	0.664106i
$958$	−23.5227	−	4.48720i	−0.759984	−	0.144975i
$959$	−0.453561	−	7.20915i	−0.0146463	−	0.232796i
$960$	3.56767	+	5.52134i	0.115146	+	0.178201i
$961$	−15.3981	−	24.2636i	−0.496714	−	0.782696i
$962$	−11.8836	+	0.747655i	−0.383144	+	0.0241054i
$963$	−44.4172	−	28.1880i	−1.43133	−	0.908347i
$964$	6.71258	−	8.11411i	0.216198	−	0.261338i
$965$	0.253902	+	0.528302i	0.00817339	+	0.0170067i
$966$	−29.3970	−	7.54786i	−0.945832	−	0.242848i
$967$	1.64794	−	0.775461i	0.0529941	−	0.0249371i	−0.399100	−	0.916908i	$-0.630677\pi$
$967$	1.64794	−	0.775461i	0.0529941	−	0.0249371i	0.452094	+	0.891970i	$0.350677\pi$
$968$	23.8846	+	7.76058i	0.767680	+	0.249434i
$969$	4.61367	+	2.53639i	0.148212	+	0.0814805i
$970$	−20.6299	+	13.3302i	−0.662385	+	0.428007i
$971$	45.1937	+	5.70929i	1.45033	+	0.183220i	0.810701	−	0.585461i	$-0.199086\pi$
$971$	45.1937	+	5.70929i	1.45033	+	0.183220i	0.639633	+	0.768681i	$0.279086\pi$
$972$	0.742866	−	5.88039i	0.0238274	−	0.188614i
$973$	−3.85145	+	2.44421i	−0.123472	+	0.0783576i
$974$	−0.472929	+	0.343603i	−0.0151536	+	0.0110098i
$975$	24.4970	+	2.68811i	0.784532	+	0.0860886i
$976$	11.0894	+	8.05693i	0.354964	+	0.257896i
$977$	−24.5346	−	1.54358i	−0.784930	−	0.0493836i	−0.334733	−	0.942313i	$-0.608646\pi$
$977$	−24.5346	−	1.54358i	−0.784930	−	0.0493836i	−0.450197	+	0.892929i	$0.648646\pi$
$978$	−9.98966	−	18.1711i	−0.319434	−	0.581049i
$979$	−37.6795	+	80.0731i	−1.20424	+	2.55915i
$980$	−10.9966	−	3.47378i	−0.351274	−	0.110966i
$981$	−0.193647	+	1.01513i	−0.00618267	+	0.0324107i
$982$	−10.7302	−	14.7688i	−0.342413	−	0.471292i
$983$	−0.161813	+	0.294336i	−0.00516103	+	0.00938787i	−0.878875	−	0.477053i	$-0.841705\pi$
$983$	−0.161813	+	0.294336i	−0.00516103	+	0.00938787i	0.873714	+	0.486441i	$0.161705\pi$
$984$	11.2092	−	17.6629i	0.357337	−	0.563074i
$985$	−30.1631	+	0.246870i	−0.961078	+	0.00786594i
$986$	8.24300	+	3.26363i	0.262511	+	0.103935i
$987$	2.65917	+	6.71629i	0.0846422	+	0.213782i
$988$	−0.981988	+	0.812371i	−0.0312412	+	0.0258450i
$989$	−87.6034	+	22.4927i	−2.78562	+	0.715227i
$990$	73.5940	+	18.2550i	2.33897	+	0.580183i
$991$	−17.8770	+	7.07800i	−0.567881	+	0.224840i	−0.634479	−	0.772940i	$-0.718785\pi$
$991$	−17.8770	+	7.07800i	−0.567881	+	0.224840i	0.0665983	+	0.997780i	$0.478785\pi$
$992$	1.02975	+	1.09657i	0.0326945	+	0.0348161i
$993$	23.3745	−	32.1723i	0.741768	−	1.02096i
$994$	0.368518	+	0.783140i	0.0116887	+	0.0248397i
$995$	−3.14921	−	23.3876i	−0.0998367	−	0.741436i
$996$	17.5433	−	9.64453i	0.555882	−	0.305599i
$997$	25.8142	−	4.92433i	0.817545	−	0.155955i	0.238387	−	0.971170i	$-0.423381\pi$
$997$	25.8142	−	4.92433i	0.817545	−	0.155955i	0.579158	+	0.815215i	$0.303381\pi$
$998$	0.691459	+	2.69305i	0.0218877	+	0.0852471i
$999$	−55.1776			−1.74574

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	250.2.h.a.229.6	yes	240
125.119	even	50	inner	250.2.h.a.119.6	✓	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
250.2.h.a.119.6	✓	240	125.119	even	50	inner
250.2.h.a.229.6	yes	240	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 250 = 2 \cdot 5^{3} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	250.h (of order \(50\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.248690 - 0.968583i) q^{2} +(2.88777 - 0.550872i) q^{3} +(-0.876307 + 0.481754i) q^{4} +(2.01540 - 0.968598i) q^{5} +(-1.25173 - 2.66005i) q^{6} +(-0.797878 + 1.09818i) q^{7} +(0.684547 + 0.728969i) q^{8} +(5.24645 - 2.07722i) q^{9} +O(q^{10})\)	\(q+(-0.248690 - 0.968583i) q^{2} +(2.88777 - 0.550872i) q^{3} +(-0.876307 + 0.481754i) q^{4} +(2.01540 - 0.968598i) q^{5} +(-1.25173 - 2.66005i) q^{6} +(-0.797878 + 1.09818i) q^{7} +(0.684547 + 0.728969i) q^{8} +(5.24645 - 2.07722i) q^{9} +(-1.43938 - 1.71120i) q^{10} +(-5.82067 + 1.49449i) q^{11} +(-2.26519 + 1.87393i) q^{12} +(0.617181 + 1.55882i) q^{13} +(1.26211 + 0.499704i) q^{14} +(5.28643 - 3.90732i) q^{15} +(0.535827 - 0.844328i) q^{16} +(-1.13496 + 2.06449i) q^{17} +(-3.31670 - 4.56504i) q^{18} +(0.142441 - 0.746702i) q^{19} +(-1.29948 + 1.81971i) q^{20} +(-1.69913 + 3.61084i) q^{21} +(2.89509 + 5.26614i) q^{22} +(-7.59041 - 0.477548i) q^{23} +(2.37839 + 1.72800i) q^{24} +(3.12363 - 3.90422i) q^{25} +(1.35636 - 0.985453i) q^{26} +(6.55970 - 4.16291i) q^{27} +(0.170131 - 1.34673i) q^{28} +(3.73346 + 0.471646i) q^{29} +(-5.09925 - 4.14864i) q^{30} +(-1.31821 - 0.724690i) q^{31} +(-0.951057 - 0.309017i) q^{32} +(-15.9855 + 7.52221i) q^{33} +(2.28189 + 0.585889i) q^{34} +(-0.544339 + 2.98610i) q^{35} +(-3.59679 + 4.34778i) q^{36} +(-5.99654 - 3.80552i) q^{37} +(-0.758666 + 0.0477312i) q^{38} +(2.64099 + 4.16153i) q^{39} +(2.08571 + 0.806109i) q^{40} +(-0.446808 - 7.10181i) q^{41} +(3.91995 + 0.747771i) q^{42} +(11.3101 - 3.67488i) q^{43} +(4.38072 - 4.11377i) q^{44} +(8.56168 - 9.26811i) q^{45} +(1.42511 + 7.47071i) q^{46} +(1.23911 - 1.31952i) q^{47} +(1.08223 - 2.73340i) q^{48} +(1.59372 + 4.90496i) q^{49} +(-4.55837 - 2.05456i) q^{50} +(-2.14025 + 6.58701i) q^{51} +(-1.29181 - 1.06868i) q^{52} +(-2.74250 - 1.29052i) q^{53} +(-5.66346 - 5.31834i) q^{54} +(-10.2834 + 8.64989i) q^{55} +(-1.34673 + 0.170131i) q^{56} -2.23477i q^{57} +(-0.471646 - 3.73346i) q^{58} +(2.82232 + 3.41160i) q^{59} +(-2.75017 + 5.97077i) q^{60} +(-0.860687 + 13.6802i) q^{61} +(-0.374098 + 1.45702i) q^{62} +(-1.90486 + 7.41894i) q^{63} +(-0.0627905 + 0.998027i) q^{64} +(2.75373 + 2.54384i) q^{65} +(11.2613 + 13.6126i) q^{66} +(0.0237792 + 0.188232i) q^{67} -2.35590i q^{68} +(-22.1825 + 2.80230i) q^{69} +(3.02766 - 0.215375i) q^{70} +(0.464799 + 0.436475i) q^{71} +(5.10567 + 2.40255i) q^{72} +(9.25235 + 7.65421i) q^{73} +(-2.19468 + 6.75455i) q^{74} +(6.86963 - 12.9952i) q^{75} +(0.234904 + 0.722961i) q^{76} +(3.00296 - 7.58460i) q^{77} +(3.37400 - 3.59295i) q^{78} +(2.59817 + 13.6201i) q^{79} +(0.262088 - 2.22066i) q^{80} +(4.30964 - 4.04702i) q^{81} +(-6.76758 + 2.19892i) q^{82} +(-6.68913 - 1.27602i) q^{83} +(-0.250574 - 3.98276i) q^{84} +(-0.287737 + 5.26009i) q^{85} +(-6.37214 - 10.0409i) q^{86} +(11.0412 - 0.694654i) q^{87} +(-5.07396 - 3.22004i) q^{88} +(9.38670 - 11.3466i) q^{89} +(-11.1061 - 5.98781i) q^{90} +(-2.20431 - 0.565970i) q^{91} +(6.88159 - 3.23823i) q^{92} +(-4.20589 - 1.36658i) q^{93} +(-1.58622 - 0.872033i) q^{94} +(-0.436179 - 1.64287i) q^{95} +(-2.91667 - 0.368461i) q^{96} +(1.37671 - 10.8978i) q^{97} +(4.35452 - 2.76346i) q^{98} +(-27.4335 + 19.9316i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 10 q^{5}+O(q^{10}) \) 240 * q + 10 * q^5	\( 240 q + 10 q^{5} + 10 q^{11} - 40 q^{12} + 20 q^{15} - 10 q^{17} - 20 q^{19} - 20 q^{22} - 60 q^{23} - 10 q^{24} - 110 q^{25} + 30 q^{26} - 10 q^{28} - 20 q^{29} - 20 q^{30} + 10 q^{31} + 30 q^{33} - 10 q^{35} + 10 q^{37} - 20 q^{39} + 30 q^{41} + 10 q^{42} - 160 q^{45} + 20 q^{46} - 220 q^{47} + 10 q^{48} + 40 q^{49} + 20 q^{51} + 10 q^{55} - 30 q^{59} - 50 q^{60} + 40 q^{61} - 20 q^{63} - 50 q^{65} - 10 q^{67} - 20 q^{69} - 50 q^{71} - 50 q^{74} - 10 q^{75} + 10 q^{76} - 40 q^{77} - 170 q^{78} - 40 q^{79} + 50 q^{81} - 200 q^{82} - 50 q^{83} - 30 q^{84} + 20 q^{85} - 20 q^{87} + 10 q^{88} - 40 q^{89} + 30 q^{90} - 240 q^{91} + 10 q^{92} - 100 q^{93} - 100 q^{95} + 20 q^{97} + 40 q^{98} - 30 q^{99}+O(q^{100}) \) 240 * q + 10 * q^5 + 10 * q^11 - 40 * q^12 + 20 * q^15 - 10 * q^17 - 20 * q^19 - 20 * q^22 - 60 * q^23 - 10 * q^24 - 110 * q^25 + 30 * q^26 - 10 * q^28 - 20 * q^29 - 20 * q^30 + 10 * q^31 + 30 * q^33 - 10 * q^35 + 10 * q^37 - 20 * q^39 + 30 * q^41 + 10 * q^42 - 160 * q^45 + 20 * q^46 - 220 * q^47 + 10 * q^48 + 40 * q^49 + 20 * q^51 + 10 * q^55 - 30 * q^59 - 50 * q^60 + 40 * q^61 - 20 * q^63 - 50 * q^65 - 10 * q^67 - 20 * q^69 - 50 * q^71 - 50 * q^74 - 10 * q^75 + 10 * q^76 - 40 * q^77 - 170 * q^78 - 40 * q^79 + 50 * q^81 - 200 * q^82 - 50 * q^83 - 30 * q^84 + 20 * q^85 - 20 * q^87 + 10 * q^88 - 40 * q^89 + 30 * q^90 - 240 * q^91 + 10 * q^92 - 100 * q^93 - 100 * q^95 + 20 * q^97 + 40 * q^98 - 30 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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